122101010211101 has 16 divisors (see below), whose sum is σ = 128742855700800. Its totient is φ = 115480871856000.

The previous prime is 122101010211031. The next prime is 122101010211109. The reversal of 122101010211101 is 101112010101221.

It is not a de Polignac number, because 122101010211101 - 2¹⁰ = 122101010210077 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 (122101010211109) 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, 25363385 + ... + 29790993.

It is an arithmetic number, because the mean of its divisors is an integer number (8046428481300).

Almost surely, 2^{122101010211101} is an apocalyptic number.

It is an amenable number.

122101010211101 is a deficient number, since it is larger than the sum of its proper divisors (6641845489699).

122101010211101 is a wasteful number, since it uses less digits than its factorization.

122101010211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430060.

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

Adding to 122101010211101 its reverse (101112010101221), we get a palindrome (223213020312322).

The spelling of 122101010211101 in words is "one hundred twenty-two trillion, one hundred one billion, ten million, two hundred eleven thousand, one hundred one".