101039934912 has 168 divisors, whose sum is σ = 311825889936. Its totient is φ = 28790157312.

The previous prime is 101039934883. The next prime is 101039934943. The reversal of 101039934912 is 219439930101.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3494788 + ... + 3523580.

Almost surely, 2^101039934912 is an apocalyptic number.

101039934912 is a gapful number since it is divisible by the number (12) 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 101039934912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155912944968).

101039934912 is an abundant number, since it is smaller than the sum of its proper divisors (210785955024).

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

101039934912 is a wasteful number, since it uses less digits than its factorization.

101039934912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29195 (or 29178 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The spelling of 101039934912 in words is "one hundred one billion, thirty-nine million, nine hundred thirty-four thousand, nine hundred twelve".