10019585272100 has 36 divisors (see below), whose sum is σ = 21750796107348. Its totient is φ = 4006304880000.

The previous prime is 10019585272091. The next prime is 10019585272117. The reversal of 10019585272100 is 127258591001.

It can be written as a sum of positive squares in 6 ways, for example, as 1259121875236 + 8760463396864 = 1122106^2 + 2959808^2 .

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, 18851951 + ... + 19376150.

Almost surely, 2^{10019585272100} is an apocalyptic number.

10019585272100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10019585272100 is an abundant number, since it is smaller than the sum of its proper divisors (11731210835248).

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

10019585272100 is a wasteful number, since it uses less digits than its factorization.

10019585272100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38230736 (or 38230729 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 41.

The spelling of 10019585272100 in words is "ten trillion, nineteen billion, five hundred eighty-five million, two hundred seventy-two thousand, one hundred".