100156114206720 has 2128 divisors, whose sum is σ = 423980461491552. Its totient is φ = 22381980549120.

The previous prime is 100156114206691. The next prime is 100156114206751. The reversal of 100156114206720 is 27602411651001.

100156114206720 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 561 + 1 + 4 + 20 + 6 + 72 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 136638627474 + ... + 136638628206.

Almost surely, 2^{100156114206720} is an apocalyptic number.

100156114206720 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 100156114206720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211990230745776).

100156114206720 is an abundant number, since it is smaller than the sum of its proper divisors (323824347284832).

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

100156114206720 is an frugal number, since it uses more digits than its factorization.

100156114206720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 100156114206720 its reverse (27602411651001), we get a palindrome (127758525857721).

The spelling of 100156114206720 in words is "one hundred trillion, one hundred fifty-six billion, one hundred fourteen million, two hundred six thousand, seven hundred twenty".