122211102022101 has 6 divisors (see below), whose sum is σ = 176527147365270. Its totient is φ = 81474068014728.

The previous prime is 122211102022091. The next prime is 122211102022151. The reversal of 122211102022101 is 101220201112221.

122211102022101 is a `hidden beast` number, since 122 + 21 + 110 + 202 + 210 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121879612808100 + 331489214001 = 11039910^2 + 575751^2 .

It is not a de Polignac number, because 122211102022101 - 2¹³ = 122211102013909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122211102022151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6789505667886 + ... + 6789505667903.

It is an arithmetic number, because the mean of its divisors is an integer number (29421191227545).

Almost surely, 2^{122211102022101} is an apocalyptic number.

It is an amenable number.

122211102022101 is a deficient number, since it is larger than the sum of its proper divisors (54316045343169).

122211102022101 is a wasteful number, since it uses less digits than its factorization.

122211102022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13579011335795 (or 13579011335792 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 122211102022101 its reverse (101220201112221), we get a palindrome (223431303134322).

The spelling of 122211102022101 in words is "one hundred twenty-two trillion, two hundred eleven billion, one hundred two million, twenty-two thousand, one hundred one".