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101200102222122 = 23212927743489777
BaseRepresentation
bin10111000000101001111100…
…001001001110100100101010
3111021022122011010101001122200
4113000221330021032210222
5101231030302132101442
6555122403554201030
730213315605544051
oct2700517411164452
9437278133331580
10101200102222122
112a2777a4472262
12b425311583176
1344611899719c7
141adc17ab49398
15ba76a844d34c
hex5c0a7c24e92a

101200102222122 has 24 divisors (see below), whose sum is σ = 219268589291076. Its totient is φ = 33733105693056.

The previous prime is 101200102222031. The next prime is 101200102222133. The reversal of 101200102222122 is 221222201002101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 99165567992481 + 2034534229641 = 9958191^2 + 1426371^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101200102222095 and 101200102222104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19417903 + ... + 24071874.

Almost surely, 2101200102222122 is an apocalyptic number.

101200102222122 is an abundant number, since it is smaller than the sum of its proper divisors (118068487068954).

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

101200102222122 is a wasteful number, since it uses less digits than its factorization.

101200102222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43619062 (or 43619059 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101200102222122 its reverse (221222201002101), we get a palindrome (322422303224223).

The spelling of 101200102222122 in words is "one hundred one trillion, two hundred billion, one hundred two million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 129277 258554 387831 775662 1163493 2326986 43489777 86979554 130469331 260938662 391407993 782815986 5622227901229 11244455802458 16866683703687 33733367407374 50600051111061 101200102222122