122101122121 has 16 divisors (see below), whose sum is σ = 136690908480. Its totient is φ = 108123088320.

The previous prime is 122101122119. The next prime is 122101122127. The reversal of 122101122121 is 121221101221.

It is a cyclic number.

It is not a de Polignac number, because 122101122121 - 2¹ = 122101122119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122101122095 and 122101122104.

It is not an unprimeable number, because it can be changed into a prime (122101122127) 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, 672330 + ... + 834403.

It is an arithmetic number, because the mean of its divisors is an integer number (8543181780).

Almost surely, 2^122101122121 is an apocalyptic number.

122101122121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122101122121 is a deficient number, since it is larger than the sum of its proper divisors (14589786359).

122101122121 is a wasteful number, since it uses less digits than its factorization.

122101122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506936.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 122101122121 its reverse (121221101221), we get a palindrome (243322223342).

The spelling of 122101122121 in words is "one hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, one hundred twenty-one".