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101222121002022 = 232192093331413877
BaseRepresentation
bin10111000000111110011100…
…100100001101010000100110
3111021101201222122120222022100
4113000332130210031100212
5101231410400434031042
6555140444521112530
730215025343230456
oct2700763444152046
9437351878528270
10101222121002022
112a2860734a5519
12b429637628746
13446328866a957
141add2691b7d66
15ba804653b24c
hex5c0f9c90d426

101222121002022 has 48 divisors (see below), whose sum is σ = 230858735056560. Its totient is φ = 31964705009856.

The previous prime is 101222121001979. The next prime is 101222121002063. The reversal of 101222121002022 is 220200121222101.

It is a happy number.

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 = 101222121001986 and 101222121002004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70884948 + ... + 72298824.

It is an arithmetic number, because the mean of its divisors is an integer number (4809556980345).

Almost surely, 2101222121002022 is an apocalyptic number.

101222121002022 is an abundant number, since it is smaller than the sum of its proper divisors (129636614054538).

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

101222121002022 is a wasteful number, since it uses less digits than its factorization.

101222121002022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1623237 (or 1623234 counting only the distinct ones).

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

Adding to 101222121002022 its reverse (220200121222101), we get a palindrome (321422242224123).

The spelling of 101222121002022 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twenty-one million, two thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 209333 418666 627999 1255998 1413877 1883997 2827754 3767994 3977327 4241631 7954654 8483262 11931981 12724893 23863962 25449786 26863663 35795943 53727326 71591886 80590989 161181978 241772967 483545934 295971114041 591942228082 887913342123 1775826684246 2663740026369 5327480052738 5623451166779 11246902333558 16870353500337 33740707000674 50611060501011 101222121002022