100121156608 has 88 divisors (see below), whose sum is σ = 220382705664. Its totient is φ = 45083750400.

The previous prime is 100121156587. The next prime is 100121156677. The reversal of 100121156608 is 806651121001.

It is a tau number, because it is divible by the number of its divisors (88).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 100121156608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1163713 + ... + 1246783.

It is an arithmetic number, because the mean of its divisors is an integer number (2504348928).

Almost surely, 2^100121156608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121156608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110191352832).

100121156608 is an abundant number, since it is smaller than the sum of its proper divisors (120261549056).

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

100121156608 is a wasteful number, since it uses less digits than its factorization.

100121156608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83209 (or 83191 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

Adding to 100121156608 its reverse (806651121001), we get a palindrome (906772277609).

The spelling of 100121156608 in words is "one hundred billion, one hundred twenty-one million, one hundred fifty-six thousand, six hundred eight".