101211220211121 has 16 divisors (see below), whose sum is σ = 150117510628800. Its totient is φ = 67395413831904.

The previous prime is 101211220211107. The next prime is 101211220211177. The reversal of 101211220211121 is 121112022112101.

It is a happy number.

101211220211121 is a `hidden beast` number, since 1 + 0 + 1 + 211 + 220 + 211 + 1 + 21 = 666.

It is not a de Polignac number, because 101211220211121 - 2⁵ = 101211220211089 is a prime.

It is a super-2 number, since 2×101211220211121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101211220211094 and 101211220211103.

It is not an unprimeable number, because it can be changed into a prime (101211220211821) 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, 2187003531 + ... + 2187049808.

It is an arithmetic number, because the mean of its divisors is an integer number (9382344414300).

Almost surely, 2^{101211220211121} is an apocalyptic number.

It is an amenable number.

101211220211121 is a deficient number, since it is larger than the sum of its proper divisors (48906290417679).

101211220211121 is an equidigital number, since it uses as much as digits as its factorization.

101211220211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374054205 (or 4374054199 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101211220211121 its reverse (121112022112101), we get a palindrome (222323242323222).

The spelling of 101211220211121 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty million, two hundred eleven thousand, one hundred twenty-one".