122021221100101 has 2 divisors, whose sum is σ = 122021221100102. Its totient is φ = 122021221100100.

The previous prime is 122021221100089. The next prime is 122021221100173. The reversal of 122021221100101 is 101001122120221.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 117186015912001 + 4835205188100 = 10825249^2 + 2198910^2 .

It is a cyclic number.

It is not a de Polignac number, because 122021221100101 - 2²⁵ = 122021187545669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (122021221130101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 61010610550050 + 61010610550051.

It is an arithmetic number, because the mean of its divisors is an integer number (61010610550051).

Almost surely, 2^{122021221100101} is an apocalyptic number.

It is an amenable number.

122021221100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

122021221100101 is an equidigital number, since it uses as much as digits as its factorization.

122021221100101 is an evil number, because the sum of its binary digits is even.

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

Adding to 122021221100101 its reverse (101001122120221), we get a palindrome (223022343220322).

It can be divided in two parts, 122021 and 221100101, that added together give a palindrome (221222122).

The spelling of 122021221100101 in words is "one hundred twenty-two trillion, twenty-one billion, two hundred twenty-one million, one hundred thousand, one hundred one".