122112201102101 has 16 divisors (see below), whose sum is σ = 141647149585920. Its totient is φ = 103100003178480.

The previous prime is 122112201102053. The next prime is 122112201102113. The reversal of 122112201102101 is 101201102211221.

It is not a de Polignac number, because 122112201102101 - 2⁴² = 117714154590997 is a prime.

It is a super-2 number, since 2×122112201102101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122112201102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112201102701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2174186 + ... + 15778196.

It is an arithmetic number, because the mean of its divisors is an integer number (8852946849120).

Almost surely, 2^{122112201102101} is an apocalyptic number.

It is an amenable number.

122112201102101 is a deficient number, since it is larger than the sum of its proper divisors (19534948483819).

122112201102101 is a wasteful number, since it uses less digits than its factorization.

122112201102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13623224.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122112201102101 its reverse (101201102211221), we get a palindrome (223313303313322).

The spelling of 122112201102101 in words is "one hundred twenty-two trillion, one hundred twelve billion, two hundred one million, one hundred two thousand, one hundred one".