101102202120121 has 2 divisors, whose sum is σ = 101102202120122. Its totient is φ = 101102202120120.

The previous prime is 101102202120107. The next prime is 101102202120133. The reversal of 101102202120121 is 121021202201101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100477288154896 + 624913965225 = 10023836^2 + 790515^2 .

It is an emirp because it is prime and its reverse (121021202201101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102202120121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102202120095 and 101102202120104.

It is not a weakly prime, because it can be changed into another prime (101102202120151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50551101060060 + 50551101060061.

It is an arithmetic number, because the mean of its divisors is an integer number (50551101060061).

Almost surely, 2^{101102202120121} is an apocalyptic number.

It is an amenable number.

101102202120121 is a deficient number, since it is larger than the sum of its proper divisors (1).

101102202120121 is an equidigital number, since it uses as much as digits as its factorization.

101102202120121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101102202120121 its reverse (121021202201101), we get a palindrome (222123404321222).

The spelling of 101102202120121 in words is "one hundred one trillion, one hundred two billion, two hundred two million, one hundred twenty thousand, one hundred twenty-one".