1010556056100 has 72 divisors (see below), whose sum is σ = 2946898275328. Its totient is φ = 267359702400.

The previous prime is 1010556056099. The next prime is 1010556056129. The reversal of 1010556056100 is 16506550101.

1010556056100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13223791 + ... + 13299990.

Almost surely, 2^{1010556056100} is an apocalyptic number.

1010556056100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010556056100 is an abundant number, since it is smaller than the sum of its proper divisors (1936342219228).

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

1010556056100 is a wasteful number, since it uses less digits than its factorization.

1010556056100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26523925 (or 26523918 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 1010556056100 in words is "one trillion, ten billion, five hundred fifty-six million, fifty-six thousand, one hundred".