121101110002122 has 64 divisors (see below), whose sum is σ = 244544732135424. Its totient is φ = 39978860500160.

The previous prime is 121101110002111. The next prime is 121101110002133. The reversal of 121101110002122 is 221200011101121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (121101110002111) and next prime (121101110002133).

It is a super-2 number, since 2×121101110002122² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244229653 + ... + 244724999.

It is an arithmetic number, because the mean of its divisors is an integer number (3821011439616).

Almost surely, 2^{121101110002122} is an apocalyptic number.

121101110002122 is an abundant number, since it is smaller than the sum of its proper divisors (123443622133302).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121101110002122 is a wasteful number, since it uses less digits than its factorization.

121101110002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496483.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121101110002122 its reverse (221200011101121), we get a palindrome (342301121103243).

The spelling of 121101110002122 in words is "one hundred twenty-one trillion, one hundred one billion, one hundred ten million, two thousand, one hundred twenty-two".