101213133121 has 16 divisors (see below), whose sum is σ = 109858892544. Its totient is φ = 92888550144.

The previous prime is 101213133113. The next prime is 101213133163. The reversal of 101213133121 is 121331312101.

It is a cyclic number.

It is not a de Polignac number, because 101213133121 - 2³ = 101213133113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101213133101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197721 + ... + 491446.

It is an arithmetic number, because the mean of its divisors is an integer number (6866180784).

Almost surely, 2^101213133121 is an apocalyptic number.

It is an amenable number.

101213133121 is a deficient number, since it is larger than the sum of its proper divisors (8645759423).

101213133121 is a wasteful number, since it uses less digits than its factorization.

101213133121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689400.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 101213133121 its reverse (121331312101), we get a palindrome (222544445222).

The spelling of 101213133121 in words is "one hundred one billion, two hundred thirteen million, one hundred thirty-three thousand, one hundred twenty-one".