101100314003221 has 64 divisors (see below), whose sum is σ = 117735786040320. Its totient is φ = 86035953991680.

The previous prime is 101100314003207. The next prime is 101100314003239. The reversal of 101100314003221 is 122300413001101.

It is a cyclic number.

It is not a de Polignac number, because 101100314003221 - 2⁵ = 101100314003189 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100314003261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16251453891 + ... + 16251460111.

It is an arithmetic number, because the mean of its divisors is an integer number (1839621656880).

Almost surely, 2^{101100314003221} is an apocalyptic number.

It is an amenable number.

101100314003221 is a deficient number, since it is larger than the sum of its proper divisors (16635472037099).

101100314003221 is a wasteful number, since it uses less digits than its factorization.

101100314003221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9286.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101100314003221 its reverse (122300413001101), we get a palindrome (223400727004322).

The spelling of 101100314003221 in words is "one hundred one trillion, one hundred billion, three hundred fourteen million, three thousand, two hundred twenty-one".