101122201121 has 4 divisors (see below), whose sum is σ = 101766291732. Its totient is φ = 100478110512.

The previous prime is 101122201111. The next prime is 101122201139. The reversal of 101122201121 is 121102221101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 56415750400 + 44706450721 = 237520^2 + 211439^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122201121 - 2³⁴ = 83942331937 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101122201096 and 101122201105.

It is not an unprimeable number, because it can be changed into a prime (101122201111) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 322045070 + ... + 322045383.

It is an arithmetic number, because the mean of its divisors is an integer number (25441572933).

Almost surely, 2^101122201121 is an apocalyptic number.

It is an amenable number.

101122201121 is a deficient number, since it is larger than the sum of its proper divisors (644090611).

101122201121 is an equidigital number, since it uses as much as digits as its factorization.

101122201121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644090610.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101122201121 its reverse (121102221101), we get a palindrome (222224422222).

The spelling of 101122201121 in words is "one hundred one billion, one hundred twenty-two million, two hundred one thousand, one hundred twenty-one".