110120111100001 has 8 divisors (see below), whose sum is σ = 110963618611560. Its totient is φ = 109279477550208.

The previous prime is 110120111099983. The next prime is 110120111100047. The reversal of 110120111100001 is 100001111021011.

It can be written as a sum of positive squares in 4 ways, for example, as 5596560147025 + 104523550952976 = 2365705^2 + 10223676^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 110120111100001 - 2¹⁵ = 110120111067233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110120111100101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 718413516 + ... + 718566781.

It is an arithmetic number, because the mean of its divisors is an integer number (13870452326445).

Almost surely, 2^{110120111100001} is an apocalyptic number.

It is an amenable number.

110120111100001 is a deficient number, since it is larger than the sum of its proper divisors (843507511559).

110120111100001 is a wasteful number, since it uses less digits than its factorization.

110120111100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436980883.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 110120111100001 its reverse (100001111021011), we get a palindrome (210121222121012).

The spelling of 110120111100001 in words is "one hundred ten trillion, one hundred twenty billion, one hundred eleven million, one hundred thousand, one".