121102202200122 has 288 divisors, whose sum is σ = 314969500464528. Its totient is φ = 33398044416000.

The previous prime is 121102202200079. The next prime is 121102202200157. The reversal of 121102202200122 is 221002202201121.

It is a happy number.

121102202200122 is a `hidden beast` number, since 1 + 211 + 0 + 220 + 220 + 0 + 12 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 77934661019721 + 43167541180401 = 8828061^2 + 6570201^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121102202200095 and 121102202200104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6326838672 + ... + 6326857812.

Almost surely, 2^{121102202200122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121102202200122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157484750232264).

121102202200122 is an abundant number, since it is smaller than the sum of its proper divisors (193867298264406).

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

121102202200122 is a wasteful number, since it uses less digits than its factorization.

121102202200122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22318 (or 22304 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 121102202200122 its reverse (221002202201121), we get a palindrome (342104404401243).

Subtracting 121102202200122 from its reverse (221002202201121), we obtain a palindrome (99900000000999).

The spelling of 121102202200122 in words is "one hundred twenty-one trillion, one hundred two billion, two hundred two million, two hundred thousand, one hundred twenty-two".