100121191968 has 144 divisors (see below), whose sum is σ = 306246225600. Its totient is φ = 28557494784.

The previous prime is 100121191903. The next prime is 100121191993. The reversal of 100121191968 is 869191121001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2799930 + ... + 2835462.

It is an arithmetic number, because the mean of its divisors is an integer number (2126709900).

Almost surely, 2^100121191968 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 100121191968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153123112800).

100121191968 is an abundant number, since it is smaller than the sum of its proper divisors (206125033632).

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

100121191968 is a wasteful number, since it uses less digits than its factorization.

100121191968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36159 (or 36144 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 39.

The spelling of 100121191968 in words is "one hundred billion, one hundred twenty-one million, one hundred ninety-one thousand, nine hundred sixty-eight".