110000221112001 has 64 divisors (see below), whose sum is σ = 167388380190720. Its totient is φ = 63666776355840.

The previous prime is 110000221111969. The next prime is 110000221112039. The reversal of 110000221112001 is 100211122000011.

It is not a de Polignac number, because 110000221112001 - 2⁵ = 110000221111969 is a prime.

It is a super-2 number, since 2×110000221112001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (110000221112401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10341030 + ... + 18081408.

It is an arithmetic number, because the mean of its divisors is an integer number (2615443440480).

Almost surely, 2^{110000221112001} is an apocalyptic number.

110000221112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110000221112001 is a deficient number, since it is larger than the sum of its proper divisors (57388159078719).

110000221112001 is a wasteful number, since it uses less digits than its factorization.

110000221112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7740646.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110000221112001 its reverse (100211122000011), we get a palindrome (210211343112012).

The spelling of 110000221112001 in words is "one hundred ten trillion, two hundred twenty-one million, one hundred twelve thousand, one".