11000101110100 has 36 divisors (see below), whose sum is σ = 23870416097500. Its totient is φ = 4400004188160.

The previous prime is 11000101110091. The next prime is 11000101110101. The reversal of 11000101110100 is 101110100011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 439044060816 + 10561057049284 = 662604^2 + 3249778^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000101110101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14053876 + ... + 14815924.

Almost surely, 2^{11000101110100} is an apocalyptic number.

11000101110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11000101110100 is an abundant number, since it is smaller than the sum of its proper divisors (12870314987400).

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

11000101110100 is a wasteful number, since it uses less digits than its factorization.

11000101110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906412 (or 906405 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 11000101110100 its reverse (101110100011), we get a palindrome (11101211210111).

The spelling of 11000101110100 in words is "eleven trillion, one hundred one million, one hundred ten thousand, one hundred".