10010120012010 has 64 divisors (see below), whose sum is σ = 26870432636160. Its totient is φ = 2651687409600.

The previous prime is 10010120011999. The next prime is 10010120012023. The reversal of 10010120012010 is 1021002101001.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10010120011983 and 10010120012001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122722537 + ... + 122804076.

It is an arithmetic number, because the mean of its divisors is an integer number (419850509940).

Almost surely, 2^{10010120012010} is an apocalyptic number.

10010120012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010120012010 is an abundant number, since it is smaller than the sum of its proper divisors (16860312624150).

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

10010120012010 is a wasteful number, since it uses less digits than its factorization.

10010120012010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245526780 (or 245526774 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10010120012010 its reverse (1021002101001), we get a palindrome (11031122113011).

The spelling of 10010120012010 in words is "ten trillion, ten billion, one hundred twenty million, twelve thousand, ten".