110001012112221 has 16 divisors (see below), whose sum is σ = 146820885127488. Its totient is φ = 73257604243200.

The previous prime is 110001012112207. The next prime is 110001012112247. The reversal of 110001012112221 is 122211210100011.

It is a happy number.

It is not a de Polignac number, because 110001012112221 - 2²² = 110001007917917 is a prime.

It is a super-2 number, since 2×110001012112221² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 110001012112221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001012117221) 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, 10532011 + ... + 18191351.

It is an arithmetic number, because the mean of its divisors is an integer number (9176305320468).

Almost surely, 2^{110001012112221} is an apocalyptic number.

It is an amenable number.

110001012112221 is a deficient number, since it is larger than the sum of its proper divisors (36819873015267).

110001012112221 is a wasteful number, since it uses less digits than its factorization.

110001012112221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7664332.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 110001012112221 its reverse (122211210100011), we get a palindrome (232212222212232).

The spelling of 110001012112221 in words is "one hundred ten trillion, one billion, twelve million, one hundred twelve thousand, two hundred twenty-one".