122120211122121 has 32 divisors (see below), whose sum is σ = 174921866558208. Its totient is φ = 75506934702080.

The previous prime is 122120211122051. The next prime is 122120211122123. The reversal of 122120211122121 is 121221112021221.

It is not a de Polignac number, because 122120211122121 - 2¹⁵ = 122120211089353 is a prime.

It is a super-2 number, since 2×122120211122121² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122120211122123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1402536 + ... + 15691001.

It is an arithmetic number, because the mean of its divisors is an integer number (5466308329944).

Almost surely, 2^{122120211122121} is an apocalyptic number.

It is an amenable number.

122120211122121 is a deficient number, since it is larger than the sum of its proper divisors (52801655436087).

122120211122121 is a wasteful number, since it uses less digits than its factorization.

122120211122121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17095601.

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 122120211122121 its reverse (121221112021221), we get a palindrome (243341323143342).

The spelling of 122120211122121 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred eleven million, one hundred twenty-two thousand, one hundred twenty-one".