101211223331121 has 16 divisors (see below), whose sum is σ = 135268118536320. Its totient is φ = 67314257314560.

The previous prime is 101211223331111. The next prime is 101211223331129. The reversal of 101211223331121 is 121133322112101.

It is not a de Polignac number, because 101211223331121 - 2²⁵ = 101211189776689 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101211223331091 and 101211223331100.

It is not an unprimeable number, because it can be changed into a prime (101211223331129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19261215 + ... + 23946123.

It is an arithmetic number, because the mean of its divisors is an integer number (8454257408520).

Almost surely, 2^{101211223331121} is an apocalyptic number.

It is an amenable number.

101211223331121 is a deficient number, since it is larger than the sum of its proper divisors (34056895205199).

101211223331121 is a wasteful number, since it uses less digits than its factorization.

101211223331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4701976.

The product of its (nonzero) digits is 432, while the sum is 24.

Adding to 101211223331121 its reverse (121133322112101), we get a palindrome (222344545443222).

The spelling of 101211223331121 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-three million, three hundred thirty-one thousand, one hundred twenty-one".