100989232009120 has 1152 divisors, whose sum is σ = 320510987596800. Its totient is φ = 29786249428992.

The previous prime is 100989232009117. The next prime is 100989232009123. The reversal of 100989232009120 is 21900232989001.

It is an interprime number because it is at equal distance from previous prime (100989232009117) and next prime (100989232009123).

It is not an unprimeable number, because it can be changed into a prime (100989232009123) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 64778210901 + ... + 64778212459.

It is an arithmetic number, because the mean of its divisors is an integer number (278221343400).

Almost surely, 2^{100989232009120} is an apocalyptic number.

100989232009120 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 100989232009120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160255493798400).

100989232009120 is an abundant number, since it is smaller than the sum of its proper divisors (219521755587680).

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

100989232009120 is a wasteful number, since it uses less digits than its factorization.

100989232009120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748 (or 1712 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 100989232009120 in words is "one hundred trillion, nine hundred eighty-nine billion, two hundred thirty-two million, nine thousand, one hundred twenty".