10002000112120 has 32 divisors (see below), whose sum is σ = 22605417313920. Its totient is φ = 3982859233920.

The previous prime is 10002000112043. The next prime is 10002000112129. The reversal of 10002000112120 is 2121100020001.

10002000112120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10002000112097 and 10002000112106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002000112129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 560641311 + ... + 560659150.

It is an arithmetic number, because the mean of its divisors is an integer number (706419291060).

Almost surely, 2^{10002000112120} is an apocalyptic number.

10002000112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002000112120 is an abundant number, since it is smaller than the sum of its proper divisors (12603417201800).

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

10002000112120 is a wasteful number, since it uses less digits than its factorization.

10002000112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121300695 (or 1121300691 counting only the distinct ones).

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

Adding to 10002000112120 its reverse (2121100020001), we get a palindrome (12123100132121).

The spelling of 10002000112120 in words is "ten trillion, two billion, one hundred twelve thousand, one hundred twenty".