122101122101101 has 64 divisors (see below), whose sum is σ = 145120391700480. Its totient is φ = 101271250080000.

The previous prime is 122101122101081. The next prime is 122101122101107. The reversal of 122101122101101 is 101101221101221.

It is not a de Polignac number, because 122101122101101 - 2⁵ = 122101122101069 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 (122101122101107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28668962910 + ... + 28668967168.

It is an arithmetic number, because the mean of its divisors is an integer number (2267506120320).

Almost surely, 2^{122101122101101} is an apocalyptic number.

122101122101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101122101101 is a deficient number, since it is larger than the sum of its proper divisors (23019269599379).

122101122101101 is a wasteful number, since it uses less digits than its factorization.

122101122101101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378.

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

Adding to 122101122101101 its reverse (101101221101221), we get a palindrome (223202343202322).

The spelling of 122101122101101 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty-two million, one hundred one thousand, one hundred one".