1100012100331 has 32 divisors (see below), whose sum is σ = 1167823945728. Its totient is φ = 1034555397120.

The previous prime is 1100012100323. The next prime is 1100012100361. The reversal of 1100012100331 is 1330012100011.

It is not a de Polignac number, because 1100012100331 - 2³ = 1100012100323 is a prime.

It is a super-2 number, since 2×1100012100331² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100012100361) 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, 243740731 + ... + 243745243.

It is an arithmetic number, because the mean of its divisors is an integer number (36494498304).

Almost surely, 2^{1100012100331} is an apocalyptic number.

1100012100331 is a deficient number, since it is larger than the sum of its proper divisors (67811845397).

1100012100331 is a wasteful number, since it uses less digits than its factorization.

1100012100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5731.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1100012100331 its reverse (1330012100011), we get a palindrome (2430024200342).

The spelling of 1100012100331 in words is "one trillion, one hundred billion, twelve million, one hundred thousand, three hundred thirty-one".