101076898807872 has 112 divisors (see below), whose sum is σ = 320004854202880. Its totient is φ = 31100584241664.

The previous prime is 101076898807861. The next prime is 101076898807873. The reversal of 101076898807872 is 278708898670101.

101076898807872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101076898807872² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 101076898807872.

It is not an unprimeable number, because it can be changed into a prime (101076898807873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2249730448 + ... + 2249775375.

It is an arithmetic number, because the mean of its divisors is an integer number (2857186198240).

Almost surely, 2^{101076898807872} is an apocalyptic number.

101076898807872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101076898807872 is an abundant number, since it is smaller than the sum of its proper divisors (218927955395008).

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

101076898807872 is a wasteful number, since it uses less digits than its factorization.

101076898807872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4499505857 (or 4499505841 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 72.

The spelling of 101076898807872 in words is "one hundred one trillion, seventy-six billion, eight hundred ninety-eight million, eight hundred seven thousand, eight hundred seventy-two".