321010010100 has 108 divisors (see below), whose sum is σ = 1083587162476. Its totient is φ = 79017845760.

The previous prime is 321010009979. The next prime is 321010010117. The reversal of 321010010100 is 1010010123.

It can be written as a sum of positive squares in 6 ways, for example, as 92460997476 + 228549012624 = 304074^2 + 478068^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13706677 + ... + 13730076.

Almost surely, 2^321010010100 is an apocalyptic number.

321010010100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321010010100 is an abundant number, since it is smaller than the sum of its proper divisors (762577152376).

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

321010010100 is a wasteful number, since it uses less digits than its factorization.

321010010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27436786 (or 27436776 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 321010010100 its reverse (1010010123), we get a palindrome (322020020223).

The spelling of 321010010100 in words is "three hundred twenty-one billion, ten million, ten thousand, one hundred".