121201100221122 has 96 divisors (see below), whose sum is σ = 265099250497536. Its totient is φ = 40018261046400.

The previous prime is 121201100221037. The next prime is 121201100221237. The reversal of 121201100221122 is 221122001102121.

121201100221122 is a `hidden beast` number, since 1 + 21 + 201 + 100 + 221 + 122 = 666.

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 = 121201100221095 and 121201100221104.

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 47 ways as a sum of consecutive naturals, for example, 1221846547 + ... + 1221945737.

It is an arithmetic number, because the mean of its divisors is an integer number (2761450526016).

Almost surely, 2^{121201100221122} is an apocalyptic number.

121201100221122 is an abundant number, since it is smaller than the sum of its proper divisors (143898150276414).

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

121201100221122 is a wasteful number, since it uses less digits than its factorization.

121201100221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100896 (or 100893 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121201100221122 its reverse (221122001102121), we get a palindrome (342323101323243).

The spelling of 121201100221122 in words is "one hundred twenty-one trillion, two hundred one billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-two".