11110000010100 has 864 divisors, whose sum is σ = 35776989626112. Its totient is φ = 2655544320000.

The previous prime is 11110000010089. The next prime is 11110000010111. The reversal of 11110000010100 is 101000001111.

It is an interprime number because it is at equal distance from previous prime (11110000010089) and next prime (11110000010111).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 35495207544 + ... + 35495207856.

It is an arithmetic number, because the mean of its divisors is an integer number (41408552808).

Almost surely, 2^{11110000010100} is an apocalyptic number.

11110000010100 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 11110000010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17888494813056).

11110000010100 is an abundant number, since it is smaller than the sum of its proper divisors (24666989616012).

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

11110000010100 is a wasteful number, since it uses less digits than its factorization.

11110000010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 11110000010100 its reverse (101000001111), we get a palindrome (11211000011211).

The spelling of 11110000010100 in words is "eleven trillion, one hundred ten billion, ten thousand, one hundred".