122112100121 has 16 divisors (see below), whose sum is σ = 141129838080. Its totient is φ = 104421262080.

The previous prime is 122112100111. The next prime is 122112100129. The reversal of 122112100121 is 121001211221.

It is a cyclic number.

It is not a de Polignac number, because 122112100121 - 2¹⁸ = 122111837977 is a prime.

It is a super-2 number, since 2×122112100121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122112100096 and 122112100105.

It is not an unprimeable number, because it can be changed into a prime (122112100129) 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, 143315 + ... + 514551.

It is an arithmetic number, because the mean of its divisors is an integer number (8820614880).

Almost surely, 2^122112100121 is an apocalyptic number.

122112100121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122112100121 is a deficient number, since it is larger than the sum of its proper divisors (19017737959).

122112100121 is a wasteful number, since it uses less digits than its factorization.

122112100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373024.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122112100121 its reverse (121001211221), we get a palindrome (243113311342).

Subtracting from 122112100121 its reverse (121001211221), we obtain a square (1110888900 = 33330²).

It can be divided in two parts, 1221 and 12100121, that multiplied together give a palindrome (14774247741).

The spelling of 122112100121 in words is "one hundred twenty-two billion, one hundred twelve million, one hundred thousand, one hundred twenty-one".