101240181504 has 720 divisors, whose sum is σ = 379652232960. Its totient is φ = 26067640320.

The previous prime is 101240181491. The next prime is 101240181607. The reversal of 101240181504 is 405181042101.

It is a happy number.

101240181504 is a `hidden beast` number, since 101 + 2 + 40 + 18 + 1 + 504 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 260257342 + ... + 260257730.

It is an arithmetic number, because the mean of its divisors is an integer number (527294768).

Almost surely, 2^101240181504 is an apocalyptic number.

101240181504 is a gapful number since it is divisible by the number (14) 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 101240181504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189826116480).

101240181504 is an abundant number, since it is smaller than the sum of its proper divisors (278412051456).

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

101240181504 is a wasteful number, since it uses less digits than its factorization.

101240181504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The spelling of 101240181504 in words is "one hundred one billion, two hundred forty million, one hundred eighty-one thousand, five hundred four".