100102213344 has 48 divisors (see below), whose sum is σ = 300306642048. Its totient is φ = 28600632192.

The previous prime is 100102213339. The next prime is 100102213397. The reversal of 100102213344 is 443312201001.

100102213344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 100102213344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74480142 + ... + 74481485.

It is an arithmetic number, because the mean of its divisors is an integer number (6256388376).

Almost surely, 2^100102213344 is an apocalyptic number.

100102213344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100102213344 is an abundant number, since it is smaller than the sum of its proper divisors (200204428704).

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

100102213344 is a wasteful number, since it uses less digits than its factorization.

100102213344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148961647 (or 148961639 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100102213344 its reverse (443312201001), we get a palindrome (543414414345).

The spelling of 100102213344 in words is "one hundred billion, one hundred two million, two hundred thirteen thousand, three hundred forty-four".