11101101210112 has 80 divisors (see below), whose sum is σ = 23514301986120. Its totient is φ = 5217586905088.

The previous prime is 11101101210091. The next prime is 11101101210131. The reversal of 11101101210112 is 21101210110111.

It can be written as a sum of positive squares in 4 ways, for example, as 10865620060416 + 235481149696 = 3296304^2 + 485264^2 .

It is a super-2 number, since 2×11101101210112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11101101210092 and 11101101210101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6253278 + ... + 7829794.

Almost surely, 2^{11101101210112} 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 11101101210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11757150993060).

11101101210112 is an abundant number, since it is smaller than the sum of its proper divisors (12413200776008).

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

11101101210112 is an equidigital number, since it uses as much as digits as its factorization.

11101101210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577361 (or 1577345 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 11101101210112 its reverse (21101210110111), we get a palindrome (32202311320223).

The spelling of 11101101210112 in words is "eleven trillion, one hundred one billion, one hundred one million, two hundred ten thousand, one hundred twelve".