122210101202101 has 24 divisors (see below), whose sum is σ = 138968896137624. Its totient is φ = 107317161600000.

The previous prime is 122210101202093. The next prime is 122210101202227. The reversal of 122210101202101 is 101202101012221.

It can be written as a sum of positive squares in 4 ways, for example, as 1826414399601 + 120383686802500 = 1351449^2 + 10971950^2 .

It is not a de Polignac number, because 122210101202101 - 2³ = 122210101202093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210101242101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121450260 + ... + 122452381.

It is an arithmetic number, because the mean of its divisors is an integer number (5790370672401).

Almost surely, 2^{122210101202101} is an apocalyptic number.

122210101202101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122210101202101 is a deficient number, since it is larger than the sum of its proper divisors (16758794935523).

122210101202101 is a wasteful number, since it uses less digits than its factorization.

122210101202101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243902805 (or 243902794 counting only the distinct ones).

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

Adding to 122210101202101 its reverse (101202101012221), we get a palindrome (223412202214322).

It can be divided in two parts, 12221010120 and 2101, that added together give a palindrome (12221012221).

The spelling of 122210101202101 in words is "one hundred twenty-two trillion, two hundred ten billion, one hundred one million, two hundred two thousand, one hundred one".