11000121011110 has 256 divisors, whose sum is σ = 26413695959040. Its totient is φ = 3192954992640.

The previous prime is 11000121011053. The next prime is 11000121011111. The reversal of 11000121011110 is 1111012100011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000121011111) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2128915747 + ... + 2128920913.

It is an arithmetic number, because the mean of its divisors is an integer number (103178499840).

Almost surely, 2^{11000121011110} is an apocalyptic number.

11000121011110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11000121011110 is an abundant number, since it is smaller than the sum of its proper divisors (15413574947930).

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

11000121011110 is a wasteful number, since it uses less digits than its factorization.

11000121011110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6891.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11000121011110 its reverse (1111012100011), we get a palindrome (12111133111121).

The spelling of 11000121011110 in words is "eleven trillion, one hundred twenty-one million, eleven thousand, one hundred ten".