10211012012120 has 64 divisors (see below), whose sum is σ = 23391243456480. Its totient is φ = 4010750954496.

The previous prime is 10211012012107. The next prime is 10211012012141. The reversal of 10211012012120 is 2121021011201.

It is a junction number, because it is equal to n+sod(n) for n = 10211012012095 and 10211012012104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5160029 + ... + 6859148.

Almost surely, 2^{10211012012120} is an apocalyptic number.

10211012012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211012012120 is an abundant number, since it is smaller than the sum of its proper divisors (13180231444360).

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

10211012012120 is a wasteful number, since it uses less digits than its factorization.

10211012012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12019572 (or 12019568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10211012012120 its reverse (2121021011201), we get a palindrome (12332033023321).

The spelling of 10211012012120 in words is "ten trillion, two hundred eleven billion, twelve million, twelve thousand, one hundred twenty".