11101000100112 has 280 divisors, whose sum is σ = 34797389949504. Its totient is φ = 3408878276352.

The previous prime is 11101000100101. The next prime is 11101000100167. The reversal of 11101000100112 is 21100100010111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11101000100094 and 11101000100103.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 76198123 + ... + 76343669.

Almost surely, 2^{11101000100112} is an apocalyptic number.

11101000100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11101000100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17398694974752).

11101000100112 is an abundant number, since it is smaller than the sum of its proper divisors (23696389849392).

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

11101000100112 is a wasteful number, since it uses less digits than its factorization.

11101000100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146089 (or 146068 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11101000100112 its reverse (21100100010111), we get a palindrome (32201100110223).

Subtracting 11101000100112 from its reverse (21100100010111), we obtain a palindrome (9999099909999).

The spelling of 11101000100112 in words is "eleven trillion, one hundred one billion, one hundred thousand, one hundred twelve".