122112120100121 has 16 divisors (see below), whose sum is σ = 126203680665600. Its totient is φ = 118030106975040.

The previous prime is 122112120100111. The next prime is 122112120100129. The reversal of 122112120100121 is 121001021211221.

It is a cyclic number.

It is not a de Polignac number, because 122112120100121 - 2⁶ = 122112120100057 is a prime.

It is a super-2 number, since 2×122112120100121² (a number of 29 digits) contains 22 as substring.

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 122112120100121.

It is not an unprimeable number, because it can be changed into a prime (122112120100129) 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, 413067455 + ... + 413362971.

It is an arithmetic number, because the mean of its divisors is an integer number (7887730041600).

Almost surely, 2^{122112120100121} is an apocalyptic number.

It is an amenable number.

122112120100121 is a deficient number, since it is larger than the sum of its proper divisors (4091560565479).

122112120100121 is a wasteful number, since it uses less digits than its factorization.

122112120100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311624.

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

Adding to 122112120100121 its reverse (121001021211221), we get a palindrome (243113141311342).

The spelling of 122112120100121 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred twenty million, one hundred thousand, one hundred twenty-one".