101207930900 has 72 divisors (see below), whose sum is σ = 232605721656. Its totient is φ = 38091059200.

The previous prime is 101207930869. The next prime is 101207930909. The reversal of 101207930900 is 9039702101.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 66962947984 + 34244982916 = 258772^2 + 185054^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101207930909) by changing a digit.

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, 8631842 + ... + 8643558.

It is an arithmetic number, because the mean of its divisors is an integer number (3230635023).

Almost surely, 2^101207930900 is an apocalyptic number.

101207930900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101207930900 is an abundant number, since it is smaller than the sum of its proper divisors (131397790756).

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

101207930900 is a wasteful number, since it uses less digits than its factorization.

101207930900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16829 (or 16822 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 32.

The spelling of 101207930900 in words is "one hundred one billion, two hundred seven million, nine hundred thirty thousand, nine hundred".