121311122220101 has 64 divisors (see below), whose sum is σ = 136723498636032. Its totient is φ = 106705209600000.

The previous prime is 121311122220097. The next prime is 121311122220149. The reversal of 121311122220101 is 101022221113121.

It is not a de Polignac number, because 121311122220101 - 2² = 121311122220097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121311122220161) 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, 6572625665 + ... + 6572644121.

It is an arithmetic number, because the mean of its divisors is an integer number (2136304666188).

Almost surely, 2^{121311122220101} is an apocalyptic number.

121311122220101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121311122220101 is a deficient number, since it is larger than the sum of its proper divisors (15412376415931).

121311122220101 is a wasteful number, since it uses less digits than its factorization.

121311122220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19254.

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 121311122220101 its reverse (101022221113121), we get a palindrome (222333343333222).

The spelling of 121311122220101 in words is "one hundred twenty-one trillion, three hundred eleven billion, one hundred twenty-two million, two hundred twenty thousand, one hundred one".