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101021002221222 = 23317244214506149
BaseRepresentation
bin10110111110000011001000…
…111100111100011010100110
3111020200111212100010100002000
4112332003020330330122212
5101220112003032034342
6554504224023430130
730164345415630036
oct2676031074743246
9436614770110060
10101021002221222
112a208848161796
12b3b66692b5346
13444a316623605
141ad362a6a98c6
15ba2bc4c7144c
hex5be0c8f3c6a6

101021002221222 has 64 divisors (see below), whose sum is σ = 237706261848000. Its totient is φ = 31691558638080.

The previous prime is 101021002221221. The next prime is 101021002221289. The reversal of 101021002221222 is 222122200120101.

It is a happy number.

101021002221222 is a `hidden beast` number, since 1 + 0 + 10 + 210 + 0 + 2 + 221 + 222 = 666.

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 = 101021002221195 and 101021002221204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021002221221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20165404 + ... + 24671552.

It is an arithmetic number, because the mean of its divisors is an integer number (3714160341375).

Almost surely, 2101021002221222 is an apocalyptic number.

101021002221222 is an abundant number, since it is smaller than the sum of its proper divisors (136685259626778).

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

101021002221222 is a wasteful number, since it uses less digits than its factorization.

101021002221222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530598 (or 4530592 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101021002221222 its reverse (222122200120101), we get a palindrome (323143202341323).

The spelling of 101021002221222 in words is "one hundred one trillion, twenty-one billion, two million, two hundred twenty-one thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 24421 48842 73263 146526 219789 415157 439578 659367 830314 1245471 1318734 2490942 3736413 4506149 7472826 9012298 11209239 13518447 22418478 27036894 40555341 76604533 81110682 121666023 153209066 229813599 243332046 459627198 689440797 1378881594 2068322391 4136644782 110044664729 220089329458 330133994187 660267988374 990401982561 1870759300393 1980803965122 2971205947683 3741518600786 5612277901179 5942411895366 11224555802358 16836833703537 33673667407074 50510501110611 101021002221222