1011100599972 has 36 divisors (see below), whose sum is σ = 2556476791596. Its totient is φ = 336949248000.

The previous prime is 1011100599967. The next prime is 1011100600001. The reversal of 1011100599972 is 2799950011101.

1011100599972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 247042797156 + 764057802816 = 497034^2 + 874104^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3365853 + ... + 3653924.

It is an arithmetic number, because the mean of its divisors is an integer number (71013244211).

Almost surely, 2^{1011100599972} is an apocalyptic number.

1011100599972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1011100599972 is an abundant number, since it is smaller than the sum of its proper divisors (1545376191624).

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

1011100599972 is a wasteful number, since it uses less digits than its factorization.

1011100599972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7023788 (or 7023783 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 45.

The spelling of 1011100599972 in words is "one trillion, eleven billion, one hundred million, five hundred ninety-nine thousand, nine hundred seventy-two".