101314331414121 has 32 divisors (see below), whose sum is σ = 157450707042048. Its totient is φ = 56745931956480.

The previous prime is 101314331414117. The next prime is 101314331414171. The reversal of 101314331414121 is 121414133413101.

It is a happy number.

It is not a de Polignac number, because 101314331414121 - 2² = 101314331414117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101314331414111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43441566 + ... + 45714311.

It is an arithmetic number, because the mean of its divisors is an integer number (4920334595064).

Almost surely, 2^{101314331414121} is an apocalyptic number.

It is an amenable number.

101314331414121 is a deficient number, since it is larger than the sum of its proper divisors (56136375627927).

101314331414121 is a wasteful number, since it uses less digits than its factorization.

101314331414121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89156961.

The product of its (nonzero) digits is 3456, while the sum is 30.

Adding to 101314331414121 its reverse (121414133413101), we get a palindrome (222728464827222).

The spelling of 101314331414121 in words is "one hundred one trillion, three hundred fourteen billion, three hundred thirty-one million, four hundred fourteen thousand, one hundred twenty-one".