122121112121101 has 8 divisors (see below), whose sum is σ = 129304916383104. Its totient is φ = 114937331129280.

The previous prime is 122121112121093. The next prime is 122121112121123. The reversal of 122121112121101 is 101121211121221.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122121112121101 - 2³ = 122121112121093 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 (122121112121131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5630806 + ... + 16611688.

It is an arithmetic number, because the mean of its divisors is an integer number (16163114547888).

Almost surely, 2^{122121112121101} is an apocalyptic number.

It is an amenable number.

122121112121101 is a deficient number, since it is larger than the sum of its proper divisors (7183804262003).

122121112121101 is a wasteful number, since it uses less digits than its factorization.

122121112121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11635091.

The product of its (nonzero) digits is 32, while the sum is 19.

Adding to 122121112121101 its reverse (101121211121221), we get a palindrome (223242323242322).

The spelling of 122121112121101 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twenty-one thousand, one hundred one".