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101212100000022 = 23115476594254179
BaseRepresentation
bin10111000000110101000111…
…010001000111100100010110
3111021100210010021022022212010
4113000311013101013210112
5101231224340100000042
6555132110304205050
730214222122144264
oct2700650721074426
9437323107268763
10101212100000022
112a2818a0946390
12b4276bb609786
13446234c508c7b
141adc998349434
15ba7b5b8d059c
hex5c0d47447916

101212100000022 has 64 divisors (see below), whose sum is σ = 221565862425600. Its totient is φ = 30567800434080.

The previous prime is 101212100000021. The next prime is 101212100000069. The reversal of 101212100000022 is 220000001212101.

It is a junction number, because it is equal to n+sod(n) for n = 101212099999953 and 101212100000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101212100000021) 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, 21664129 + ... + 25918307.

It is an arithmetic number, because the mean of its divisors is an integer number (3461966600400).

Almost surely, 2101212100000022 is an apocalyptic number.

101212100000022 is an abundant number, since it is smaller than the sum of its proper divisors (120353762425578).

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

101212100000022 is a wasteful number, since it uses less digits than its factorization.

101212100000022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255401.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101212100000022 its reverse (220000001212101), we get a palindrome (321212101212123).

The spelling of 101212100000022 in words is "one hundred one trillion, two hundred twelve billion, one hundred million, twenty-two", and thus it is an aban number.

Divisors: 1 2 3 6 11 22 33 66 547 659 1094 1318 1641 1977 3282 3954 6017 7249 12034 14498 18051 21747 36102 43494 360473 720946 1081419 2162838 3965203 4254179 7930406 8508358 11895609 12762537 23791218 25525074 46795969 93591938 140387907 280775814 2327035913 2803503961 4654071826 5607007922 6981107739 8410511883 13962215478 16821023766 25597395043 30838543571 51194790086 61677087142 76792185129 92515630713 153584370258 185031261426 1533516666667 3067033333334 4600550000001 9201100000002 16868683333337 33737366666674 50606050000011 101212100000022