1110102001121 has 32 divisors (see below), whose sum is σ = 1236382250400. Its totient is φ = 991822970880.

The previous prime is 1110102001117. The next prime is 1110102001133. The reversal of 1110102001121 is 1211002010111.

It can be written as a sum of positive squares in 16 ways, for example, as 878390700625 + 231711300496 = 937225^2 + 481364^2 .

It is a cyclic number.

It is not a de Polignac number, because 1110102001121 - 2² = 1110102001117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1110102001321) 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 31 ways as a sum of consecutive naturals, for example, 89280521 + ... + 89292953.

It is an arithmetic number, because the mean of its divisors is an integer number (38636945325).

Almost surely, 2^{1110102001121} is an apocalyptic number.

It is an amenable number.

1110102001121 is a deficient number, since it is larger than the sum of its proper divisors (126280249279).

1110102001121 is a wasteful number, since it uses less digits than its factorization.

1110102001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15509.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1110102001121 its reverse (1211002010111), we get a palindrome (2321104011232).

The spelling of 1110102001121 in words is "one trillion, one hundred ten billion, one hundred two million, one thousand, one hundred twenty-one".