101361904530900 has 144 divisors (see below), whose sum is σ = 315837312243264. Its totient is φ = 24950305566720.

The previous prime is 101361904530893. The next prime is 101361904530937. The reversal of 101361904530900 is 9035409163101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 504220207 + ... + 504421193.

It is an arithmetic number, because the mean of its divisors is an integer number (2193314668356).

Almost surely, 2^{101361904530900} is an apocalyptic number.

101361904530900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101361904530900 is an abundant number, since it is smaller than the sum of its proper divisors (214475407712364).

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

101361904530900 is a wasteful number, since it uses less digits than its factorization.

101361904530900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330330 (or 330323 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 101361904530900 in words is "one hundred one trillion, three hundred sixty-one billion, nine hundred four million, five hundred thirty thousand, nine hundred".