100024431001000 has 512 divisors, whose sum is σ = 267821415014400. Its totient is φ = 34647715200000.

The previous prime is 100024431000959. The next prime is 100024431001037. The reversal of 100024431001000 is 100134420001.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3080786767 + ... + 3080819233.

It is an arithmetic number, because the mean of its divisors is an integer number (523088701200).

Almost surely, 2^{100024431001000} is an apocalyptic number.

100024431001000 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 100024431001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133910707507200).

100024431001000 is an abundant number, since it is smaller than the sum of its proper divisors (167796984013400).

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

100024431001000 is a wasteful number, since it uses less digits than its factorization.

100024431001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32706 (or 32692 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 100024431001000 its reverse (100134420001), we get a palindrome (100124565421001).

The spelling of 100024431001000 in words is "one hundred trillion, twenty-four billion, four hundred thirty-one million, one thousand".