100210040320 has 80 divisors (see below), whose sum is σ = 258751563840. Its totient is φ = 37000617984.

The previous prime is 100210040291. The next prime is 100210040341. The reversal of 100210040320 is 23040012001.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100210040320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1472280 + ... + 1538839.

It is an arithmetic number, because the mean of its divisors is an integer number (3234394548).

Almost surely, 2^100210040320 is an apocalyptic number.

100210040320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210040320 is an abundant number, since it is smaller than the sum of its proper divisors (158541523520).

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

100210040320 is an equidigital number, since it uses as much as digits as its factorization.

100210040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3011155 (or 3011139 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 100210040320 its reverse (23040012001), we get a palindrome (123250052321).

The spelling of 100210040320 in words is "one hundred billion, two hundred ten million, forty thousand, three hundred twenty".