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101121210122020 = 225114313631065557
BaseRepresentation
bin10110111111100000011101…
…110011101111111100100100
3111021001002111222222010121021
4112333200131303233330210
5101223232214242401040
6555022235334500524
730204523566010234
oct2677403563577444
9437032458863537
10101121210122020
112a24729a986830
12b411b74804744
1344568c622557a
141ad84151a7cc4
15ba55dc37624a
hex5bf81dceff24

101121210122020 has 48 divisors (see below), whose sum is σ = 231660254000448. Its totient is φ = 36771229381760.

The previous prime is 101121210121969. The next prime is 101121210122027. The reversal of 101121210122020 is 20221012121101.

It is a junction number, because it is equal to n+sod(n) for n = 101121210121985 and 101121210122003.

It is not an unprimeable number, because it can be changed into a prime (101121210122027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94367082 + ... + 95432638.

It is an arithmetic number, because the mean of its divisors is an integer number (4826255291676).

Almost surely, 2101121210122020 is an apocalyptic number.

101121210122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121210122020 is an abundant number, since it is smaller than the sum of its proper divisors (130539043878428).

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

101121210122020 is a wasteful number, since it uses less digits than its factorization.

101121210122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496940 (or 1496938 counting only the distinct ones).

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

Adding to 101121210122020 its reverse (20221012121101), we get a palindrome (121342222243121).

The spelling of 101121210122020 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred ten million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 431363 862726 1065557 1725452 2131114 2156815 4262228 4313630 4744993 5327785 8627260 9489986 10655570 11721127 18979972 21311140 23442254 23724965 46884508 47449930 58605635 94899860 117211270 234422540 459641864191 919283728382 1838567456764 2298209320955 4596418641910 5056060506101 9192837283820 10112121012202 20224242024404 25280302530505 50560605061010 101121210122020