110100011012001 has 6 divisors (see below), whose sum is σ = 159033349239570. Its totient is φ = 73400007341328.

The previous prime is 110100011011997. The next prime is 110100011012003. The reversal of 110100011012001 is 100210110001011.

It can be written as a sum of positive squares in only one way, i.e., 100020021002001 + 10079990010000 = 10001001^2 + 3174900^2 .

It is not a de Polignac number, because 110100011012001 - 2² = 110100011011997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 12233334556889 = 110100011012001 / (1 + 1 + 0 + 1 + 0 + 0 + 0 + 1 + 1 + 0 + 1 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (110100011012003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6116667278436 + ... + 6116667278453.

It is an arithmetic number, because the mean of its divisors is an integer number (26505558206595).

Almost surely, 2^{110100011012001} is an apocalyptic number.

It is an amenable number.

110100011012001 is a deficient number, since it is larger than the sum of its proper divisors (48933338227569).

110100011012001 is a wasteful number, since it uses less digits than its factorization.

110100011012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12233334556895 (or 12233334556892 counting only the distinct ones).

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

Adding to 110100011012001 its reverse (100210110001011), we get a palindrome (210310121013012).

The spelling of 110100011012001 in words is "one hundred ten trillion, one hundred billion, eleven million, twelve thousand, one".