10102202100112 has 20 divisors (see below), whose sum is σ = 19573184563020. Its totient is φ = 5051057696768.

The previous prime is 10102202100101. The next prime is 10102202100119. The reversal of 10102202100112 is 21100120220101.

It can be written as a sum of positive squares in 2 ways, for example, as 80646912256 + 10021555187856 = 283984^2 + 3165684^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10102202100092 and 10102202100101.

It is not an unprimeable number, because it can be changed into a prime (10102202100119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 743953 + ... + 4556080.

It is an arithmetic number, because the mean of its divisors is an integer number (978659228151).

Almost surely, 2^{10102202100112} is an apocalyptic number.

It is an amenable number.

10102202100112 is a deficient number, since it is larger than the sum of its proper divisors (9470982462908).

10102202100112 is a wasteful number, since it uses less digits than its factorization.

10102202100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5419170 (or 5419164 counting only the distinct ones).

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

Adding to 10102202100112 its reverse (21100120220101), we get a palindrome (31202322320213).

The spelling of 10102202100112 in words is "ten trillion, one hundred two billion, two hundred two million, one hundred thousand, one hundred twelve".