11000001110100 has 432 divisors, whose sum is σ = 33521388243840. Its totient is φ = 2784131481600.

The previous prime is 11000001110039. The next prime is 11000001110129. The reversal of 11000001110100 is 101110000011.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2828488956 + ... + 2828492844.

It is an arithmetic number, because the mean of its divisors is an integer number (77595806120).

Almost surely, 2^{11000001110100} is an apocalyptic number.

11000001110100 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 11000001110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16760694121920).

11000001110100 is an abundant number, since it is smaller than the sum of its proper divisors (22521387133740).

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

11000001110100 is a wasteful number, since it uses less digits than its factorization.

11000001110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4148 (or 4104 counting only the distinct ones).

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

Adding to 11000001110100 its reverse (101110000011), we get a palindrome (11101111110111).

The spelling of 11000001110100 in words is "eleven trillion, one million, one hundred ten thousand, one hundred".