1012100985 has 48 divisors (see below), whose sum is σ = 2042786304. Its totient is φ = 453937536.

The previous prime is 1012100977. The next prime is 1012101011. The reversal of 1012100985 is 5890012101.

It is not a de Polignac number, because 1012100985 - 2³ = 1012100977 is a prime.

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 47 ways as a sum of consecutive naturals, for example, 13617 + ... + 47006.

It is an arithmetic number, because the mean of its divisors is an integer number (42558048).

Almost surely, 2^1012100985 is an apocalyptic number.

1012100985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1012100985 is an abundant number, since it is smaller than the sum of its proper divisors (1030685319).

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

1012100985 is a wasteful number, since it uses less digits than its factorization.

1012100985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60694 (or 60691 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 1012100985 is about 31813.5346197181. The cubic root of 1012100985 is about 1004.0174997479.

The spelling of 1012100985 in words is "one billion, twelve million, one hundred thousand, nine hundred eighty-five".