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101021100100122 = 23372423291877819
BaseRepresentation
bin10110111110000011001110…
…110010010100101000011010
3111020200112010011022002200110
4112332003032302110220122
5101220112203111200442
6554504241441345150
730164351014606206
oct2676031662245032
9436615104262613
10101021100100122
112a208898434644
12b3b66960381b6
13444a3309a3817
141ad36396a7b06
15ba2bcd65769c
hex5be0cec94a1a

101021100100122 has 32 divisors (see below), whose sum is σ = 207503766993600. Its totient is φ = 32763447381888.

The previous prime is 101021100100097. The next prime is 101021100100127. The reversal of 101021100100122 is 221001001120101.

It is a junction number, because it is equal to n+sod(n) for n = 101021100100098 and 101021100100107.

It is not an unprimeable number, because it can be changed into a prime (101021100100127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52858129 + ... + 54735947.

It is an arithmetic number, because the mean of its divisors is an integer number (6484492718550).

Almost surely, 2101021100100122 is an apocalyptic number.

101021100100122 is an abundant number, since it is smaller than the sum of its proper divisors (106482666893478).

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

101021100100122 is a wasteful number, since it uses less digits than its factorization.

101021100100122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2120190.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101021100100122 its reverse (221001001120101), we get a palindrome (322022101220223).

The spelling of 101021100100122 in words is "one hundred one trillion, twenty-one billion, one hundred million, one hundred thousand, one hundred twenty-two".

Divisors: 1 2 3 6 37 74 111 222 242329 484658 726987 1453974 1877819 3755638 5633457 8966173 11266914 17932346 26898519 53797038 69479303 138958606 208437909 416875818 455050000451 910100000902 1365150001353 2730300002706 16836850016687 33673700033374 50510550050061 101021100100122