101211022022121 has 24 divisors (see below), whose sum is σ = 168865448510304. Its totient is φ = 57731777266560.

The previous prime is 101211022022063. The next prime is 101211022022141. The reversal of 101211022022121 is 121220220112101.

101211022022121 is a `hidden beast` number, since 10 + 1 + 211 + 0 + 220 + 221 + 2 + 1 = 666.

It is not a de Polignac number, because 101211022022121 - 2³⁰ = 101209948280297 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101211022022094 and 101211022022103.

It is not an unprimeable number, because it can be changed into a prime (101211022022141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30068632311 + ... + 30068635676.

It is an arithmetic number, because the mean of its divisors is an integer number (7036060354596).

Almost surely, 2^{101211022022121} is an apocalyptic number.

101211022022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211022022121 is a deficient number, since it is larger than the sum of its proper divisors (67654426488183).

101211022022121 is a wasteful number, since it uses less digits than its factorization.

101211022022121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60137268021 (or 60137268018 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101211022022121 its reverse (121220220112101), we get a palindrome (222431242134222).

The spelling of 101211022022121 in words is "one hundred one trillion, two hundred eleven billion, twenty-two million, twenty-two thousand, one hundred twenty-one".