11110110002100 has 432 divisors, whose sum is σ = 36355312385392. Its totient is φ = 2835281387520.

The previous prime is 11110110002087. The next prime is 11110110002183. The reversal of 11110110002100 is 120001101111.

11110110002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 4071976911396 + 7038133090704 = 2017914^2 + 2652948^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 906719574 + ... + 906731826.

Almost surely, 2^{11110110002100} is an apocalyptic number.

11110110002100 is a gapful number since it is divisible by the number (10) 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 11110110002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18177656192696).

11110110002100 is an abundant number, since it is smaller than the sum of its proper divisors (25245202383292).

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

11110110002100 is a wasteful number, since it uses less digits than its factorization.

11110110002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12756 (or 12746 counting only the distinct ones).

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

Adding to 11110110002100 its reverse (120001101111), we get a palindrome (11230111103211).

The spelling of 11110110002100 in words is "eleven trillion, one hundred ten billion, one hundred ten million, two thousand, one hundred".