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101011222112020 = 2251123101197650417
BaseRepresentation
bin10110111101111010000010…
…000000110010011100010100
3111020122120121202010022102021
4112331322002000302130110
5101214431440330041040
6554455525334022524
730163551151235113
oct2675720200623424
9436576552108367
10101011222112020
112a204689585a10
12b3b4799aa7a44
134449418365c4c
141ad2d7d825c7a
15ba280134b24a
hex5bde82032714

101011222112020 has 96 divisors (see below), whose sum is σ = 243859504525056. Its totient is φ = 34786473216000.

The previous prime is 101011222111937. The next prime is 101011222112023. The reversal of 101011222112020 is 20211222110101.

It is a junction number, because it is equal to n+sod(n) for n = 101011222111985 and 101011222112003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011222112023) 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, 98314149 + ... + 99336268.

It is an arithmetic number, because the mean of its divisors is an integer number (2540203172136).

Almost surely, 2101011222112020 is an apocalyptic number.

101011222112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011222112020 is an abundant number, since it is smaller than the sum of its proper divisors (142848282413036).

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

101011222112020 is a wasteful number, since it uses less digits than its factorization.

101011222112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197650561 (or 197650559 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101011222112020 its reverse (20211222110101), we get a palindrome (121222444222121).

It can be divided in two parts, 1010112 and 22112020, that added together give a palindrome (23122132).

The spelling of 101011222112020 in words is "one hundred one trillion, eleven billion, two hundred twenty-two million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 101 110 115 202 220 230 253 404 460 505 506 1010 1012 1111 1265 2020 2222 2323 2530 4444 4646 5060 5555 9292 11110 11615 22220 23230 25553 46460 51106 102212 127765 255530 511060 197650417 395300834 790601668 988252085 1976504170 2174154587 3953008340 4348309174 4545959591 8696618348 9091919182 10870772935 18183838364 19962692117 21741545870 22729797955 39925384234 43483091740 45459595910 50005555501 79850768468 90919191820 99813460585 100011111002 199626921170 200022222004 219589613287 250027777505 399253842340 439179226574 459141918691 500055555010 878358453148 918283837382 1000111110020 1097948066435 1836567674764 2195896132870 2295709593455 4391792265740 4591419186910 5050561105601 9182838373820 10101122211202 20202244422404 25252805528005 50505611056010 101011222112020