121013210011122 has 192 divisors, whose sum is σ = 308562410257920. Its totient is φ = 33791787993600.

The previous prime is 121013210011079. The next prime is 121013210011249. The reversal of 121013210011122 is 221110012310121.

It is a happy number.

121013210011122 is a `hidden beast` number, since 1 + 210 + 1 + 321 + 0 + 0 + 11 + 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 = 121013210011095 and 121013210011104.

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, 4007442928 + ... + 4007473124.

It is an arithmetic number, because the mean of its divisors is an integer number (1607095886760).

Almost surely, 2^{121013210011122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121013210011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154281205128960).

121013210011122 is an abundant number, since it is smaller than the sum of its proper divisors (187549200246798).

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

121013210011122 is a wasteful number, since it uses less digits than its factorization.

121013210011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32849 (or 32846 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 121013210011122 its reverse (221110012310121), we get a palindrome (342123222321243).

The spelling of 121013210011122 in words is "one hundred twenty-one trillion, thirteen billion, two hundred ten million, eleven thousand, one hundred twenty-two".