122100121021121 has 12 divisors (see below), whose sum is σ = 125100772827840. Its totient is φ = 119169369994440.

The previous prime is 122100121021093. The next prime is 122100121021157. The reversal of 122100121021121 is 121120121001221.

It is not a de Polignac number, because 122100121021121 - 2³⁴ = 122082941151937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 122100121021121.

It is not an unprimeable number, because it can be changed into a prime (122100121021621) 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 11 ways as a sum of consecutive naturals, for example, 76190165 + ... + 77776226.

It is an arithmetic number, because the mean of its divisors is an integer number (10425064402320).

Almost surely, 2^{122100121021121} is an apocalyptic number.

It is an amenable number.

122100121021121 is a deficient number, since it is larger than the sum of its proper divisors (3000651806719).

122100121021121 is an equidigital number, since it uses as much as digits as its factorization.

122100121021121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153966844 (or 153966797 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 122100121021121 its reverse (121120121001221), we get a palindrome (243220242022342).

The spelling of 122100121021121 in words is "one hundred twenty-two trillion, one hundred billion, one hundred twenty-one million, twenty-one thousand, one hundred twenty-one".