10100010109966 has 16 divisors (see below), whose sum is σ = 17346307315680. Its totient is φ = 4320574693920.

The previous prime is 10100010109961. The next prime is 10100010109967. The reversal of 10100010109966 is 66990101000101.

10100010109966 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10100010109966² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100010109961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 666747781 + ... + 666762928.

It is an arithmetic number, because the mean of its divisors is an integer number (1084144207230).

Almost surely, 2^{10100010109966} is an apocalyptic number.

10100010109966 is a deficient number, since it is larger than the sum of its proper divisors (7246297205714).

10100010109966 is a wasteful number, since it uses less digits than its factorization.

10100010109966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333511259.

The product of its (nonzero) digits is 2916, while the sum is 34.

The spelling of 10100010109966 in words is "ten trillion, one hundred billion, ten million, one hundred nine thousand, nine hundred sixty-six".