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101222111210022 = 2321137107129129271
BaseRepresentation
bin10111000000111110011011…
…111110110110101000100110
3111021101201221222011111012200
4113000332123332312220212
5101231410340432210042
6555140443531155330
730215025164055405
oct2700763376665046
9437351858144180
10101222111210022
112a286068a17660
12b4296342a5b46
13446328661c97a
141add267b8963c
15ba8045754c4c
hex5c0f9bfb6a26

101222111210022 has 96 divisors (see below), whose sum is σ = 248014977110784. Its totient is φ = 29565437659200.

The previous prime is 101222111210021. The next prime is 101222111210039. The reversal of 101222111210022 is 220012111222101.

101222111210022 is a `hidden beast` number, since 101 + 222 + 111 + 210 + 0 + 22 = 666.

It is a super-2 number, since 2×1012221112100222 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101222111209977 and 101222111210004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101222111210021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63780754 + ... + 65348517.

It is an arithmetic number, because the mean of its divisors is an integer number (2583489344904).

Almost surely, 2101222111210022 is an apocalyptic number.

101222111210022 is an abundant number, since it is smaller than the sum of its proper divisors (146792865900762).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101222111210022 is a wasteful number, since it uses less digits than its factorization.

101222111210022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129129434 (or 129129431 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101222111210022 its reverse (220012111222101), we get a palindrome (321234222432123).

The spelling of 101222111210022 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred eleven million, two hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 107 111 198 214 222 321 333 407 642 666 814 963 1177 1221 1926 2354 2442 3531 3663 3959 7062 7326 7918 10593 11877 21186 23754 35631 43549 71262 87098 130647 261294 391941 783882 129129271 258258542 387387813 774775626 1162163439 1420421981 2324326878 2840843962 4261265943 4777783027 8522531886 9555566054 12783797829 13816831997 14333349081 25567595658 27633663994 28666698162 41450495991 43000047243 52555613297 82900991982 86000094486 105111226594 124351487973 151985151967 157666839891 248702975946 303970303934 315333679782 455955455901 473000519673 511222783889 911910911802 946001039346 1022445567778 1367866367703 1533668351667 2735732735406 3067336703334 4601005055001 5623450622779 9202010110002 11246901245558 16870351868337 33740703736674 50611055605011 101222111210022