101972436120 has 48 divisors (see below), whose sum is σ = 331410418560. Its totient is φ = 27192649536.

The previous prime is 101972436109. The next prime is 101972436127. The reversal of 101972436120 is 21634279101.

101972436120 is a `hidden beast` number, since 1 + 0 + 19 + 7 + 24 + 3 + 612 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101972436127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141628024 + ... + 141628743.

It is an arithmetic number, because the mean of its divisors is an integer number (6904383720).

Almost surely, 2^101972436120 is an apocalyptic number.

101972436120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101972436120 is an abundant number, since it is smaller than the sum of its proper divisors (229437982440).

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

101972436120 is a wasteful number, since it uses less digits than its factorization.

101972436120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283256784 (or 283256777 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 101972436120 in words is "one hundred one billion, nine hundred seventy-two million, four hundred thirty-six thousand, one hundred twenty".