101620142138300 has 72 divisors (see below), whose sum is σ = 233489781478800. Its totient is φ = 38256575104000.

The previous prime is 101620142138243. The next prime is 101620142138303. The reversal of 101620142138300 is 3831241026101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101620142138303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185793626 + ... + 186339774.

It is an arithmetic number, because the mean of its divisors is an integer number (3242913631650).

Almost surely, 2^{101620142138300} is an apocalyptic number.

101620142138300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101620142138300 is an abundant number, since it is smaller than the sum of its proper divisors (131869639340500).

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

101620142138300 is a wasteful number, since it uses less digits than its factorization.

101620142138300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655631 (or 655624 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The spelling of 101620142138300 in words is "one hundred one trillion, six hundred twenty billion, one hundred forty-two million, one hundred thirty-eight thousand, three hundred".