321121330010100 has 54 divisors (see below), whose sum is σ = 1006536968845590. Its totient is φ = 85632354669120.

The previous prime is 321121330010099. The next prime is 321121330010113. The reversal of 321121330010100 is 1010033121123.

321121330010100 is a `hidden beast` number, since 3 + 211 + 21 + 330 + 0 + 1 + 0 + 100 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 6176040106896 + 314945289903204 = 2485164^2 + 17746698^2 .

It is a super-2 number, since 2×321121330010100² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 178400737995 + ... + 178400739794.

Almost surely, 2^{321121330010100} is an apocalyptic number.

321121330010100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

321121330010100 is an abundant number, since it is smaller than the sum of its proper divisors (685415638835490).

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

321121330010100 is a wasteful number, since it uses less digits than its factorization.

321121330010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356801477809 (or 356801477799 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 321121330010100 its reverse (1010033121123), we get a palindrome (322131363131223).

The spelling of 321121330010100 in words is "three hundred twenty-one trillion, one hundred twenty-one billion, three hundred thirty million, ten thousand, one hundred".