121001122122111 has 96 divisors (see below), whose sum is σ = 218576229580800. Its totient is φ = 62664735032640.

The previous prime is 121001122122011. The next prime is 121001122122131. The reversal of 121001122122111 is 111221221100121.

It is a happy number.

121001122122111 is a `hidden beast` number, since 1 + 210 + 0 + 1 + 1 + 221 + 221 + 11 = 666.

It is not a de Polignac number, because 121001122122111 - 2¹⁹ = 121001121597823 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121001122122131) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 747397870 + ... + 747559748.

It is an arithmetic number, because the mean of its divisors is an integer number (2276835724800).

Almost surely, 2^{121001122122111} is an apocalyptic number.

121001122122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121001122122111 is a deficient number, since it is larger than the sum of its proper divisors (97575107458689).

121001122122111 is a wasteful number, since it uses less digits than its factorization.

121001122122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165209 (or 165206 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121001122122111 its reverse (111221221100121), we get a palindrome (232222343222232).

The spelling of 121001122122111 in words is "one hundred twenty-one trillion, one billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred eleven".