122100122101101 has 32 divisors (see below), whose sum is σ = 170542795248000. Its totient is φ = 77600834642688.

The previous prime is 122100122101063. The next prime is 122100122101109. The reversal of 122100122101101 is 101101221001221.

It is a happy number.

It is not a de Polignac number, because 122100122101101 - 2⁴⁵ = 86915750012269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122100122101109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7393635 + ... + 17287743.

It is an arithmetic number, because the mean of its divisors is an integer number (5329462351500).

Almost surely, 2^{122100122101101} is an apocalyptic number.

It is an amenable number.

122100122101101 is a deficient number, since it is larger than the sum of its proper divisors (48442673146899).

122100122101101 is a wasteful number, since it uses less digits than its factorization.

122100122101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9895933.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122100122101101 its reverse (101101221001221), we get a palindrome (223201343102322).

The spelling of 122100122101101 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twenty-two million, one hundred one thousand, one hundred one".