10012113100000 has 144 divisors (see below), whose sum is σ = 26877393142992. Its totient is φ = 3640768000000.

The previous prime is 10012113099949. The next prime is 10012113100039. The reversal of 10012113100000 is 131121001.

It is a super-2 number, since 2×10012113100000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10012113100000.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3450961 + ... + 5650960.

It is an arithmetic number, because the mean of its divisors is an integer number (186648563493).

Almost surely, 2^{10012113100000} is an apocalyptic number.

10012113100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012113100000 is an abundant number, since it is smaller than the sum of its proper divisors (16865280042992).

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

10012113100000 is an frugal number, since it uses more digits than its factorization.

10012113100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9101967 (or 9101939 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 10012113100000 its reverse (131121001), we get a palindrome (10012244221001).

The spelling of 10012113100000 in words is "ten trillion, twelve billion, one hundred thirteen million, one hundred thousand".