11100212202112 has 128 divisors (see below), whose sum is σ = 25399822046400. Its totient is φ = 4778848419840.

The previous prime is 11100212202097. The next prime is 11100212202119. The reversal of 11100212202112 is 21120221200111.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11100212202112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11100212202119) 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, 116510848 + ... + 116606080.

Almost surely, 2^{11100212202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100212202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12699911023200).

11100212202112 is an abundant number, since it is smaller than the sum of its proper divisors (14299609844288).

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

11100212202112 is a wasteful number, since it uses less digits than its factorization.

11100212202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99634 (or 99622 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11100212202112 its reverse (21120221200111), we get a palindrome (32220433402223).

It can be divided in two parts, 1110021 and 2202112, that added together give a palindrome (3312133).

The spelling of 11100212202112 in words is "eleven trillion, one hundred billion, two hundred twelve million, two hundred two thousand, one hundred twelve".