110002111112101 has 16 divisors (see below), whose sum is σ = 121305505910400. Its totient is φ = 99123927439680.

The previous prime is 110002111112083. The next prime is 110002111112107. The reversal of 110002111112101 is 101211111200011.

It is not a de Polignac number, because 110002111112101 - 2¹⁷ = 110002110981029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110002111112107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 401005435 + ... + 401279656.

It is an arithmetic number, because the mean of its divisors is an integer number (7581594119400).

Almost surely, 2^{110002111112101} is an apocalyptic number.

It is an amenable number.

110002111112101 is a deficient number, since it is larger than the sum of its proper divisors (11303394798299).

110002111112101 is a wasteful number, since it uses less digits than its factorization.

110002111112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802285356.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 110002111112101 its reverse (101211111200011), we get a palindrome (211213222312112).

The spelling of 110002111112101 in words is "one hundred ten trillion, two billion, one hundred eleven million, one hundred twelve thousand, one hundred one".