10102000020112 has 180 divisors, whose sum is σ = 26623906377600. Its totient is φ = 3633086096640.

The previous prime is 10102000020107. The next prime is 10102000020173. The reversal of 10102000020112 is 21102000020101.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84889 + ... + 4495687.

Almost surely, 2^{10102000020112} 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 10102000020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13311953188800).

10102000020112 is an abundant number, since it is smaller than the sum of its proper divisors (16521906357488).

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

10102000020112 is a wasteful number, since it uses less digits than its factorization.

10102000020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4410862 (or 4410832 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10102000020112 its reverse (21102000020101), we get a palindrome (31204000040213).

The spelling of 10102000020112 in words is "ten trillion, one hundred two billion, twenty thousand, one hundred twelve".