1010111100966 has 64 divisors (see below), whose sum is σ = 2465188992000. Its totient is φ = 304039922400.

The previous prime is 1010111100949. The next prime is 1010111100967. The reversal of 1010111100966 is 6690011110101.

It is a super-2 number, since 2×1010111100966² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010111100967) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 5617950 + ... + 5794961.

It is an arithmetic number, because the mean of its divisors is an integer number (38518578000).

Almost surely, 2^{1010111100966} is an apocalyptic number.

1010111100966 is an abundant number, since it is smaller than the sum of its proper divisors (1455077891034).

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

1010111100966 is a wasteful number, since it uses less digits than its factorization.

1010111100966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11413082 (or 11413076 counting only the distinct ones).

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

The spelling of 1010111100966 in words is "one trillion, ten billion, one hundred eleven million, one hundred thousand, nine hundred sixty-six".