10211002102120 has 32 divisors (see below), whose sum is σ = 22978085508000. Its totient is φ = 4083808702528.

The previous prime is 10211002102097. The next prime is 10211002102141. The reversal of 10211002102120 is 2120120011201.

It is a self number, because there is not a number n which added to its sum of digits gives 10211002102120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18224914 + ... + 18776833.

It is an arithmetic number, because the mean of its divisors is an integer number (718065172125).

Almost surely, 2^{10211002102120} is an apocalyptic number.

10211002102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211002102120 is an abundant number, since it is smaller than the sum of its proper divisors (12767083405880).

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

10211002102120 is a wasteful number, since it uses less digits than its factorization.

10211002102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37008657 (or 37008653 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10211002102120 its reverse (2120120011201), we get a palindrome (12331122113321).

The spelling of 10211002102120 in words is "ten trillion, two hundred eleven billion, two million, one hundred two thousand, one hundred twenty".