20100102100112 has 20 divisors (see below), whose sum is σ = 39012390627180. Its totient is φ = 10032388389888.

The previous prime is 20100102100081. The next prime is 20100102100157. The reversal of 20100102100112 is 21100120100102.

It can be written as a sum of positive squares in 2 ways, for example, as 6297509946256 + 13802592153856 = 2509484^2 + 3715184^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20100102100093 and 20100102100102.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1103906873 + ... + 1103925080.

It is an arithmetic number, because the mean of its divisors is an integer number (1950619531359).

Almost surely, 2^{20100102100112} is an apocalyptic number.

It is an amenable number.

20100102100112 is a deficient number, since it is larger than the sum of its proper divisors (18912288527068).

20100102100112 is a wasteful number, since it uses less digits than its factorization.

20100102100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2207832530 (or 2207832524 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 20100102100112 its reverse (21100120100102), we get a palindrome (41200222200214).

The spelling of 20100102100112 in words is "twenty trillion, one hundred billion, one hundred two million, one hundred thousand, one hundred twelve".