100121032032 has 144 divisors (see below), whose sum is σ = 307313585712. Its totient is φ = 28457533440.

The previous prime is 100121032021. The next prime is 100121032079. The reversal of 100121032032 is 230230121001.

It is a congruent number.

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, 852732 + ... + 963012.

It is an arithmetic number, because the mean of its divisors is an integer number (2134122123).

Almost surely, 2^100121032032 is an apocalyptic number.

100121032032 is a gapful number since it is divisible by the number (12) 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 100121032032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153656792856).

100121032032 is an abundant number, since it is smaller than the sum of its proper divisors (207192553680).

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

100121032032 is a wasteful number, since it uses less digits than its factorization.

100121032032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110501 (or 110486 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100121032032 its reverse (230230121001), we get a palindrome (330351153033).

The spelling of 100121032032 in words is "one hundred billion, one hundred twenty-one million, thirty-two thousand, thirty-two".