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101022122012022 = 232101157353934547
BaseRepresentation
bin10110111110000100001011…
…101100100110110101110110
3111020200121202101012121021100
4112332010023230212311312
5101220121301213341042
6554504531104430530
730164415233661201
oct2676041354466566
9436617671177240
10101022122012022
112a209272264132
12b3b6920318446
13444a464613413
141ad36d52ba938
15ba2c3d21624c
hex5be10bb26d76

101022122012022 has 48 divisors (see below), whose sum is σ = 222456357847152. Its totient is φ = 33128273505600.

The previous prime is 101022122011949. The next prime is 101022122012029. The reversal of 101022122012022 is 220210221220101.

It is a happy number.

101022122012022 is a `hidden beast` number, since 10 + 10 + 221 + 220 + 1 + 202 + 2 = 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 = 101022122011986 and 101022122012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022122012029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176681848 + ... + 177252699.

It is an arithmetic number, because the mean of its divisors is an integer number (4634507455149).

Almost surely, 2101022122012022 is an apocalyptic number.

101022122012022 is an abundant number, since it is smaller than the sum of its proper divisors (121434235835130).

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

101022122012022 is a wasteful number, since it uses less digits than its factorization.

101022122012022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353934813 (or 353934810 counting only the distinct ones).

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

Adding to 101022122012022 its reverse (220210221220101), we get a palindrome (321232343232123).

The spelling of 101022122012022 in words is "one hundred one trillion, twenty-two billion, one hundred twenty-two million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 9 18 101 157 202 303 314 471 606 909 942 1413 1818 2826 15857 31714 47571 95142 142713 285426 353934547 707869094 1061803641 2123607282 3185410923 6370821846 35747389247 55567723879 71494778494 107242167741 111135447758 166703171637 214484335482 321726503223 333406343274 500109514911 643453006446 1000219029822 5612340111779 11224680223558 16837020335337 33674040670674 50511061006011 101022122012022