10020102100112 has 80 divisors (see below), whose sum is σ = 20964860163072. Its totient is φ = 4611945914880.

The previous prime is 10020102100111. The next prime is 10020102100159. The reversal of 10020102100112 is 21100120102001.

It is a junction number, because it is equal to n+sod(n) for n = 10020102100093 and 10020102100102.

It is not an unprimeable number, because it can be changed into a prime (10020102100111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219345818 + ... + 219391494.

Almost surely, 2^{10020102100112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10020102100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10482430081536).

10020102100112 is an abundant number, since it is smaller than the sum of its proper divisors (10944758062960).

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

10020102100112 is a wasteful number, since it uses less digits than its factorization.

10020102100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48576 (or 48570 counting only the distinct ones).

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

Adding to 10020102100112 its reverse (21100120102001), we get a palindrome (31120222202113).

The spelling of 10020102100112 in words is "ten trillion, twenty billion, one hundred two million, one hundred thousand, one hundred twelve".