101110866783312 has 40 divisors (see below), whose sum is σ = 267573879175680. Its totient is φ = 32881582693120.

The previous prime is 101110866783263. The next prime is 101110866783313. The reversal of 101110866783312 is 213387668011101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110866783313) 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, 25688734512 + ... + 25688738447.

It is an arithmetic number, because the mean of its divisors is an integer number (6689346979392).

Almost surely, 2^{101110866783312} is an apocalyptic number.

101110866783312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101110866783312 is an abundant number, since it is smaller than the sum of its proper divisors (166463012392368).

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

101110866783312 is a wasteful number, since it uses less digits than its factorization.

101110866783312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51377473011 (or 51377473005 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 101110866783312 in words is "one hundred one trillion, one hundred ten billion, eight hundred sixty-six million, seven hundred eighty-three thousand, three hundred twelve".