10102012002120 has 64 divisors (see below), whose sum is σ = 30877848025920. Its totient is φ = 2643042132224.

The previous prime is 10102012002109. The next prime is 10102012002127. The reversal of 10102012002120 is 2120021020101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10102012002096 and 10102012002105.

It is not an unprimeable number, because it can be changed into a prime (10102012002127) 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, 794176974 + ... + 794189693.

It is an arithmetic number, because the mean of its divisors is an integer number (482466375405).

Almost surely, 2^{10102012002120} is an apocalyptic number.

10102012002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102012002120 is an abundant number, since it is smaller than the sum of its proper divisors (20775836023800).

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

10102012002120 is a wasteful number, since it uses less digits than its factorization.

10102012002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588366734 (or 1588366730 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10102012002120 its reverse (2120021020101), we get a palindrome (12222033022221).

The spelling of 10102012002120 in words is "ten trillion, one hundred two billion, twelve million, two thousand, one hundred twenty".