100213002320 has 20 divisors (see below), whose sum is σ = 232995230580. Its totient is φ = 40085200896.

The previous prime is 100213002319. The next prime is 100213002341. The reversal of 100213002320 is 23200312001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 75062848576 + 25150153744 = 273976^2 + 158588^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 100213002295 and 100213002304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 626331185 + ... + 626331344.

It is an arithmetic number, because the mean of its divisors is an integer number (11649761529).

Almost surely, 2^100213002320 is an apocalyptic number.

100213002320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100213002320 is an abundant number, since it is smaller than the sum of its proper divisors (132782228260).

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

100213002320 is a wasteful number, since it uses less digits than its factorization.

100213002320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252662542 (or 1252662536 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 100213002320 its reverse (23200312001), we get a palindrome (123413314321).

The spelling of 100213002320 in words is "one hundred billion, two hundred thirteen million, two thousand, three hundred twenty".