10201002120010 has 96 divisors (see below), whose sum is σ = 20038178224512. Its totient is φ = 3737190562560.

The previous prime is 10201002120007. The next prime is 10201002120013. The reversal of 10201002120010 is 1002120010201.

It is an interprime number because it is at equal distance from previous prime (10201002120007) and next prime (10201002120013).

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 (10201002120013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157169665 + ... + 157234555.

It is an arithmetic number, because the mean of its divisors is an integer number (208731023172).

Almost surely, 2^{10201002120010} is an apocalyptic number.

10201002120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201002120010 is a deficient number, since it is larger than the sum of its proper divisors (9837176104502).

10201002120010 is a wasteful number, since it uses less digits than its factorization.

10201002120010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65648 (or 65635 counting only the distinct ones).

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

Adding to 10201002120010 its reverse (1002120010201), we get a palindrome (11203122130211).

The spelling of 10201002120010 in words is "ten trillion, two hundred one billion, two million, one hundred twenty thousand, ten".