101038900609080 has 640 divisors, whose sum is σ = 389724862665600. Its totient is φ = 22999063007232.

The previous prime is 101038900609069. The next prime is 101038900609099. The reversal of 101038900609080 is 80906009830101.

101038900609080 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 38 + 9 + 0 + 0 + 609 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17823052486 + ... + 17823058154.

It is an arithmetic number, because the mean of its divisors is an integer number (608945097915).

Almost surely, 2^{101038900609080} is an apocalyptic number.

101038900609080 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 101038900609080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194862431332800).

101038900609080 is an abundant number, since it is smaller than the sum of its proper divisors (288685962056520).

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

101038900609080 is a wasteful number, since it uses less digits than its factorization.

101038900609080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8813 (or 8800 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 101038900609080 in words is "one hundred one trillion, thirty-eight billion, nine hundred million, six hundred nine thousand, eighty".