10100111010966 has 24 divisors (see below), whose sum is σ = 21885067882080. Its totient is φ = 3366473820336.

The previous prime is 10100111010949. The next prime is 10100111010967. The reversal of 10100111010966 is 66901011100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100111010967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18883086 + ... + 19410593.

It is an arithmetic number, because the mean of its divisors is an integer number (911877828420).

Almost surely, 2^{10100111010966} is an apocalyptic number.

10100111010966 is an abundant number, since it is smaller than the sum of its proper divisors (11784956871114).

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

10100111010966 is a wasteful number, since it uses less digits than its factorization.

10100111010966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38308340 (or 38308337 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 27.

The spelling of 10100111010966 in words is "ten trillion, one hundred billion, one hundred eleven million, ten thousand, nine hundred sixty-six".