100140021345 has 288 divisors, whose sum is σ = 211248172800. Its totient is φ = 40448378880.

The previous prime is 100140021269. The next prime is 100140021413. The reversal of 100140021345 is 543120041001.

It is not a de Polignac number, because 100140021345 - 2⁸ = 100140021089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1889434339 + ... + 1889434391.

It is an arithmetic number, because the mean of its divisors is an integer number (733500600).

Almost surely, 2^100140021345 is an apocalyptic number.

100140021345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100140021345 is an abundant number, since it is smaller than the sum of its proper divisors (111108151455).

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

100140021345 is an equidigital number, since it uses as much as digits as its factorization.

100140021345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 100140021345 its reverse (543120041001), we get a palindrome (643260062346).

The spelling of 100140021345 in words is "one hundred billion, one hundred forty million, twenty-one thousand, three hundred forty-five".