100211332321320 has 128 divisors (see below), whose sum is σ = 328024242432000. Its totient is φ = 24289220609280.

The previous prime is 100211332321301. The next prime is 100211332321333. The reversal of 100211332321320 is 23123233112001.

It is a super-2 number, since 2×100211332321320² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 304221 + ... + 14160339.

It is an arithmetic number, because the mean of its divisors is an integer number (2562689394000).

Almost surely, 2^{100211332321320} is an apocalyptic number.

100211332321320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211332321320 is an abundant number, since it is smaller than the sum of its proper divisors (227812910110680).

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

100211332321320 is a wasteful number, since it uses less digits than its factorization.

100211332321320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13861623 (or 13861619 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 100211332321320 its reverse (23123233112001), we get a palindrome (123334565433321).

The spelling of 100211332321320 in words is "one hundred trillion, two hundred eleven billion, three hundred thirty-two million, three hundred twenty-one thousand, three hundred twenty".