122112031311101 has 16 divisors (see below), whose sum is σ = 132862636032000. Its totient is φ = 111555365626368.

The previous prime is 122112031311089. The next prime is 122112031311113. The reversal of 122112031311101 is 101113130211221.

It is an interprime number because it is at equal distance from previous prime (122112031311089) and next prime (122112031311113).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122112031311101 is a prime.

It is a super-2 number, since 2×122112031311101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122112031311191) 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, 109098500 + ... + 110212098.

It is an arithmetic number, because the mean of its divisors is an integer number (8303914752000).

Almost surely, 2^{122112031311101} is an apocalyptic number.

It is an amenable number.

122112031311101 is a deficient number, since it is larger than the sum of its proper divisors (10750604720899).

122112031311101 is a wasteful number, since it uses less digits than its factorization.

122112031311101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200668.

The product of its (nonzero) digits is 72, while the sum is 20.

Adding to 122112031311101 its reverse (101113130211221), we get a palindrome (223225161522322).

The spelling of 122112031311101 in words is "one hundred twenty-two trillion, one hundred twelve billion, thirty-one million, three hundred eleven thousand, one hundred one".