100120999968 has 192 divisors, whose sum is σ = 322502221440. Its totient is φ = 30339463680.

The previous prime is 100120999943. The next prime is 100120999981. The reversal of 100120999968 is 869999021001.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704796 + ... + 834852.

It is an arithmetic number, because the mean of its divisors is an integer number (1679699070).

Almost surely, 2^100120999968 is an apocalyptic number.

100120999968 is a gapful number since it is divisible by the number (18) 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 100120999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161251110720).

100120999968 is an abundant number, since it is smaller than the sum of its proper divisors (222381221472).

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

100120999968 is an equidigital number, since it uses as much as digits as its factorization.

100120999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130099 (or 130073 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 100120999968 in words is "one hundred billion, one hundred twenty million, nine hundred ninety-nine thousand, nine hundred sixty-eight".