101079938896 has 80 divisors (see below), whose sum is σ = 215558346240. Its totient is φ = 45703405440.

The previous prime is 101079938891. The next prime is 101079938899. The reversal of 101079938896 is 698839970101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101079938891) 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 15 ways as a sum of consecutive naturals, for example, 3418351 + ... + 3447793.

It is an arithmetic number, because the mean of its divisors is an integer number (2694479328).

Almost surely, 2^101079938896 is an apocalyptic number.

101079938896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101079938896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107779173120).

101079938896 is an abundant number, since it is smaller than the sum of its proper divisors (114478407344).

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

101079938896 is a wasteful number, since it uses less digits than its factorization.

101079938896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29984 (or 29978 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 61.

The spelling of 101079938896 in words is "one hundred one billion, seventy-nine million, nine hundred thirty-eight thousand, eight hundred ninety-six".