110010111221121 has 8 divisors (see below), whose sum is σ = 146695691423424. Its totient is φ = 73332302583120.

The previous prime is 110010111221081. The next prime is 110010111221161. The reversal of 110010111221121 is 121122111010011.

It is an interprime number because it is at equal distance from previous prime (110010111221081) and next prime (110010111221161).

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

It is not a de Polignac number, because 110010111221121 - 2¹⁵ = 110010111188353 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110010111221121.

It is not an unprimeable number, because it can be changed into a prime (110010111221161) 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 7 ways as a sum of consecutive naturals, for example, 1942858045 + ... + 1942914666.

It is an arithmetic number, because the mean of its divisors is an integer number (18336961427928).

Almost surely, 2^{110010111221121} is an apocalyptic number.

It is an amenable number.

110010111221121 is a deficient number, since it is larger than the sum of its proper divisors (36685580202303).

110010111221121 is an equidigital number, since it uses as much as digits as its factorization.

110010111221121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3885782151.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 110010111221121 its reverse (121122111010011), we get a palindrome (231132222231132).

The spelling of 110010111221121 in words is "one hundred ten trillion, ten billion, one hundred eleven million, two hundred twenty-one thousand, one hundred twenty-one".