10120020011200 has 84 divisors (see below), whose sum is σ = 27165353763672. Its totient is φ = 3680007270400.

The previous prime is 10120020011177. The next prime is 10120020011201. The reversal of 10120020011200 is 211002002101.

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

It is not an unprimeable number, because it can be changed into a prime (10120020011201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 287482969 + ... + 287518168.

Almost surely, 2^{10120020011200} is an apocalyptic number.

10120020011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120020011200 is an abundant number, since it is smaller than the sum of its proper divisors (17045333752472).

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

10120020011200 is a wasteful number, since it uses less digits than its factorization.

10120020011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575001170 (or 575001155 counting only the distinct ones).

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

Adding to 10120020011200 its reverse (211002002101), we get a palindrome (10331022013301).

The spelling of 10120020011200 in words is "ten trillion, one hundred twenty billion, twenty million, eleven thousand, two hundred".