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101222202011020 = 22537370919137743
BaseRepresentation
bin10111000000111110100001…
…011001001110110110001100
3111021101202012022000122202121
4113000332201121032312030
5101231411032203323040
6555140500533302324
730215030345625346
oct2700764131166614
9437352168018677
10101222202011020
112a2861051a5802
12b42965a7949a4
13446329c39237c
141add275c64296
15ba804d6ddc4a
hex5c0fa164ed8c

101222202011020 has 48 divisors (see below), whose sum is σ = 213437134753920. Its totient is φ = 40323375495936.

The previous prime is 101222202011017. The next prime is 101222202011083. The reversal of 101222202011020 is 20110202222101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101222202010985 and 101222202011003.

It is an unprimeable number.

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, 4279732 + ... + 14858011.

It is an arithmetic number, because the mean of its divisors is an integer number (4446606974040).

Almost surely, 2101222202011020 is an apocalyptic number.

101222202011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101222202011020 is an abundant number, since it is smaller than the sum of its proper divisors (112214932742900).

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

101222202011020 is a wasteful number, since it uses less digits than its factorization.

101222202011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19138834 (or 19138832 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101222202011020 its reverse (20110202222101), we get a palindrome (121332404233121).

The spelling of 101222202011020 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred two million, eleven thousand, twenty".

Divisors: 1 2 4 5 10 20 373 709 746 1418 1492 1865 2836 3545 3730 7090 7460 14180 264457 528914 1057828 1322285 2644570 5289140 19137743 38275486 76550972 95688715 191377430 382754860 7138378139 13568659787 14276756278 27137319574 28553512556 35691890695 54274639148 67843298935 71383781390 135686597870 142767562780 271373195740 5061110100551 10122220201102 20244440402204 25305550502755 50611101005510 101222202011020