10010120010000 has 200 divisors, whose sum is σ = 35251639789344. Its totient is φ = 2426695680000.

The previous prime is 10010120009947. The next prime is 10010120010029. The reversal of 10010120010000 is 1002101001.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×10010120010000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14836849 + ... + 15496848.

Almost surely, 2^{10010120010000} is an apocalyptic number.

10010120010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010120010000 is an abundant number, since it is smaller than the sum of its proper divisors (25241519779344).

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

10010120010000 is a wasteful number, since it uses less digits than its factorization.

10010120010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30333739 (or 30333718 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10010120010000 its reverse (1002101001), we get a palindrome (10011122111001).

The spelling of 10010120010000 in words is "ten trillion, ten billion, one hundred twenty million, ten thousand".