11001012121000 has 128 divisors (see below), whose sum is σ = 28542955633920. Its totient is φ = 3934788000000.

The previous prime is 11001012120983. The next prime is 11001012121027. The reversal of 11001012121000 is 12121010011.

11001012121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7526476 + ... + 8868475.

It is an arithmetic number, because the mean of its divisors is an integer number (222991840890).

Almost surely, 2^{11001012121000} is an apocalyptic number.

11001012121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11001012121000 is an abundant number, since it is smaller than the sum of its proper divisors (17541943512920).

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

11001012121000 is a wasteful number, since it uses less digits than its factorization.

11001012121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16395044 (or 16395030 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11001012121000 its reverse (12121010011), we get a palindrome (11013133131011).

The spelling of 11001012121000 in words is "eleven trillion, one billion, twelve million, one hundred twenty-one thousand".