122102111001101 has 48 divisors (see below), whose sum is σ = 157899857808000. Its totient is φ = 94302511712640.

The previous prime is 122102111001061. The next prime is 122102111001107. The reversal of 122102111001101 is 101100111201221.

It is a de Polignac number, because none of the positive numbers 2^k-122102111001101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102111001107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8327891 + ... + 17707568.

It is an arithmetic number, because the mean of its divisors is an integer number (3289580371000).

Almost surely, 2^{122102111001101} is an apocalyptic number.

122102111001101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122102111001101 is a deficient number, since it is larger than the sum of its proper divisors (35797746806899).

122102111001101 is a wasteful number, since it uses less digits than its factorization.

122102111001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26035615 (or 26035590 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 122102111001101 its reverse (101100111201221), we get a palindrome (223202222202322).

The spelling of 122102111001101 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred eleven million, one thousand, one hundred one".