101007334100 has 72 divisors (see below), whose sum is σ = 226397676288. Its totient is φ = 39075206400.

The previous prime is 101007334097. The next prime is 101007334151. The reversal of 101007334100 is 1433700101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5425007 + ... + 5443593.

Almost surely, 2^101007334100 is an apocalyptic number.

101007334100 is a gapful number since it is divisible by the number (10) 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 101007334100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113198838144).

101007334100 is an abundant number, since it is smaller than the sum of its proper divisors (125390342188).

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

101007334100 is a wasteful number, since it uses less digits than its factorization.

101007334100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20385 (or 20378 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The spelling of 101007334100 in words is "one hundred one billion, seven million, three hundred thirty-four thousand, one hundred".