100011110112164 has 12 divisors (see below), whose sum is σ = 178321696332444. Its totient is φ = 49062054017184.

The previous prime is 100011110112163. The next prime is 100011110112257. The reversal of 100011110112164 is 461211011110001.

It can be written as a sum of positive squares in 2 ways, for example, as 68508596568064 + 31502513544100 = 8276992^2 + 5612710^2 .

It is not an unprimeable number, because it can be changed into a prime (100011110112163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 235875259487 + ... + 235875259910.

It is an arithmetic number, because the mean of its divisors is an integer number (14860141361037).

Almost surely, 2^{100011110112164} is an apocalyptic number.

It is an amenable number.

100011110112164 is a deficient number, since it is larger than the sum of its proper divisors (78310586220280).

100011110112164 is a wasteful number, since it uses less digits than its factorization.

100011110112164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471750519454 (or 471750519452 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 20.

Adding to 100011110112164 its reverse (461211011110001), we get a palindrome (561222121222165).

The spelling of 100011110112164 in words is "one hundred trillion, eleven billion, one hundred ten million, one hundred twelve thousand, one hundred sixty-four".