122100022121 has 32 divisors (see below), whose sum is σ = 157189103616. Its totient is φ = 92044512000.

The previous prime is 122100022103. The next prime is 122100022123. The reversal of 122100022121 is 121220001221.

It is a de Polignac number, because none of the positive numbers 2^k-122100022121 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 122100022096 and 122100022105.

It is not an unprimeable number, because it can be changed into a prime (122100022123) 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 31 ways as a sum of consecutive naturals, for example, 10193666 + ... + 10205636.

It is an arithmetic number, because the mean of its divisors is an integer number (4912159488).

Almost surely, 2^122100022121 is an apocalyptic number.

122100022121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100022121 is a deficient number, since it is larger than the sum of its proper divisors (35089081495).

122100022121 is a wasteful number, since it uses less digits than its factorization.

122100022121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16293.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122100022121 its reverse (121220001221), we get a palindrome (243320023342).

The spelling of 122100022121 in words is "one hundred twenty-two billion, one hundred million, twenty-two thousand, one hundred twenty-one".