11101221112116 has 24 divisors (see below), whose sum is σ = 26796050961120. Its totient is φ = 3572806794592.

The previous prime is 11101221112097. The next prime is 11101221112117. The reversal of 11101221112116 is 61121112210111.

It is a super-2 number, since 2×11101221112116² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11101221112092 and 11101221112101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101221112117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15950029986 + ... + 15950030681.

It is an arithmetic number, because the mean of its divisors is an integer number (1116502123380).

Almost surely, 2^{11101221112116} is an apocalyptic number.

It is an amenable number.

11101221112116 is an abundant number, since it is smaller than the sum of its proper divisors (15694829849004).

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

11101221112116 is a wasteful number, since it uses less digits than its factorization.

11101221112116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31900060703 (or 31900060701 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 21.

Adding to 11101221112116 its reverse (61121112210111), we get a palindrome (72222333322227).

The spelling of 11101221112116 in words is "eleven trillion, one hundred one billion, two hundred twenty-one million, one hundred twelve thousand, one hundred sixteen".