101202222121121 has 12 divisors (see below), whose sum is σ = 111249004559700. Its totient is φ = 91993585321440.

The previous prime is 101202222121111. The next prime is 101202222121139. The reversal of 101202222121121 is 121121222202101.

It can be written as a sum of positive squares in 2 ways, for example, as 9417410688400 + 91784811432721 = 3068780^2 + 9580439^2 .

It is not a de Polignac number, because 101202222121121 - 2³⁰ = 101201148379297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101202222121093 and 101202222121102.

It is not an unprimeable number, because it can be changed into a prime (101202222121111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37014506 + ... + 39654483.

It is an arithmetic number, because the mean of its divisors is an integer number (9270750379975).

Almost surely, 2^{101202222121121} is an apocalyptic number.

101202222121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101202222121121 is a deficient number, since it is larger than the sum of its proper divisors (10046782438579).

101202222121121 is a wasteful number, since it uses less digits than its factorization.

101202222121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76679920 (or 76679909 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 101202222121121 its reverse (121121222202101), we get a palindrome (222323444323222).

The spelling of 101202222121121 in words is "one hundred one trillion, two hundred two billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty-one".