122101122133 has 16 divisors (see below), whose sum is σ = 129509829504. Its totient is φ = 114717772800.

The previous prime is 122101122127. The next prime is 122101122137. The reversal of 122101122133 is 331221101221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122101122133 is a prime.

It is a super-2 number, since 2×122101122133² (a number of 23 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 122101122133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101122137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30138958 + ... + 30143008.

It is an arithmetic number, because the mean of its divisors is an integer number (8094364344).

Almost surely, 2^122101122133 is an apocalyptic number.

It is an amenable number.

122101122133 is a deficient number, since it is larger than the sum of its proper divisors (7408707371).

122101122133 is a wasteful number, since it uses less digits than its factorization.

122101122133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6732.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 122101122133 its reverse (331221101221), we get a palindrome (453322223354).

The spelling of 122101122133 in words is "one hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, one hundred thirty-three".