11101221112122 has 32 divisors (see below), whose sum is σ = 24669501629760. Its totient is φ = 3700388830320.

The previous prime is 11101221112117. The next prime is 11101221112123. The reversal of 11101221112122 is 22121112210111.

It is a happy number.

It is a super-2 number, since 2×11101221112122² (a number of 27 digits) contains 22 as substring.

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 = 11101221112095 and 11101221112104.

It is not an unprimeable number, because it can be changed into a prime (11101221112123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14845972 + ... + 15575792.

It is an arithmetic number, because the mean of its divisors is an integer number (770921925930).

Almost surely, 2^{11101221112122} is an apocalyptic number.

11101221112122 is an abundant number, since it is smaller than the sum of its proper divisors (13568280517638).

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

11101221112122 is a wasteful number, since it uses less digits than its factorization.

11101221112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011515 (or 1011509 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 11101221112122 its reverse (22121112210111), we get a palindrome (33222333322233).

The spelling of 11101221112122 in words is "eleven trillion, one hundred one billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty-two".