10001010002120 has 64 divisors (see below), whose sum is σ = 23687020468800. Its totient is φ = 3789789569280.

The previous prime is 10001010002117. The next prime is 10001010002147. The reversal of 10001010002120 is 2120001010001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10001010002098 and 10001010002107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74725502 + ... + 74859218.

It is an arithmetic number, because the mean of its divisors is an integer number (370109694825).

Almost surely, 2^{10001010002120} is an apocalyptic number.

10001010002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001010002120 is an abundant number, since it is smaller than the sum of its proper divisors (13686010466680).

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

10001010002120 is a wasteful number, since it uses less digits than its factorization.

10001010002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232158 (or 232154 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001010002120 its reverse (2120001010001), we get a palindrome (12121011012121).

The spelling of 10001010002120 in words is "ten trillion, one billion, ten million, two thousand, one hundred twenty".