1111012001100 has 108 divisors (see below), whose sum is σ = 3483009666864. Its totient is φ = 296218458240.

The previous prime is 1111012001083. The next prime is 1111012001107. The reversal of 1111012001100 is 11002101111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (1111012001107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5230162 + ... + 5438438.

It is an arithmetic number, because the mean of its divisors is an integer number (32250089508).

Almost surely, 2^{1111012001100} is an apocalyptic number.

1111012001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1111012001100 is an abundant number, since it is smaller than the sum of its proper divisors (2371997665764).

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

1111012001100 is a wasteful number, since it uses less digits than its factorization.

1111012001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214224 (or 214214 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1111012001100 its reverse (11002101111), we get a palindrome (1122014102211).

The spelling of 1111012001100 in words is "one trillion, one hundred eleven billion, twelve million, one thousand, one hundred".