10120202100112 has 40 divisors (see below), whose sum is σ = 21116976786360. Its totient is φ = 4670688675840.

The previous prime is 10120202100109. The next prime is 10120202100137. The reversal of 10120202100112 is 21100120202101.

It can be written as a sum of positive squares in 4 ways, for example, as 1664110320016 + 8456091780096 = 1290004^2 + 2907936^2 .

It is a super-2 number, since 2×10120202100112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 10120202100092 and 10120202100101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4782714 + ... + 6566182.

It is an arithmetic number, because the mean of its divisors is an integer number (527924419659).

Almost surely, 2^{10120202100112} is an apocalyptic number.

It is an amenable number.

10120202100112 is an abundant number, since it is smaller than the sum of its proper divisors (10996774686248).

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

10120202100112 is a wasteful number, since it uses less digits than its factorization.

10120202100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1810771 (or 1810765 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10120202100112 its reverse (21100120202101), we get a palindrome (31220322302213).

The spelling of 10120202100112 in words is "ten trillion, one hundred twenty billion, two hundred two million, one hundred thousand, one hundred twelve".