10000102002120 has 48 divisors (see below), whose sum is σ = 32500331508060. Its totient is φ = 2666693867136.

The previous prime is 10000102002119. The next prime is 10000102002259. The reversal of 10000102002120 is 2120020100001.

It can be written as a sum of positive squares in 2 ways, for example, as 9097788192516 + 902313809604 = 3016254^2 + 949902^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13889030199 + ... + 13889030918.

Almost surely, 2^{10000102002120} is an apocalyptic number.

10000102002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000102002120 is an abundant number, since it is smaller than the sum of its proper divisors (22500229505940).

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

10000102002120 is a wasteful number, since it uses less digits than its factorization.

10000102002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27778061134 (or 27778061127 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10000102002120 its reverse (2120020100001), we get a palindrome (12120122102121).

The spelling of 10000102002120 in words is "ten trillion, one hundred two million, two thousand, one hundred twenty".