121102211002122 has 192 divisors, whose sum is σ = 311976588268800. Its totient is φ = 33217593937920.

The previous prime is 121102211002049. The next prime is 121102211002153. The reversal of 121102211002122 is 221200112201121.

121102211002122 is a `hidden beast` number, since 121 + 10 + 221 + 100 + 212 + 2 = 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 = 121102211002095 and 121102211002104.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5905398193 + ... + 5905418699.

It is an arithmetic number, because the mean of its divisors is an integer number (1624878063900).

Almost surely, 2^{121102211002122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121102211002122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155988294134400).

121102211002122 is an abundant number, since it is smaller than the sum of its proper divisors (190874377266678).

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

121102211002122 is a wasteful number, since it uses less digits than its factorization.

121102211002122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29661 (or 29658 counting only the distinct ones).

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

Adding to 121102211002122 its reverse (221200112201121), we get a palindrome (342302323203243).

The spelling of 121102211002122 in words is "one hundred twenty-one trillion, one hundred two billion, two hundred eleven million, two thousand, one hundred twenty-two".