110101222001221 has 64 divisors (see below), whose sum is σ = 133179294044160. Its totient is φ = 89845113600000.

The previous prime is 110101222001209. The next prime is 110101222001231. The reversal of 110101222001221 is 122100222101011.

It is not a de Polignac number, because 110101222001221 - 2²¹ = 110101219904069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110101222001195 and 110101222001204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110101222001201) 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, 256012671 + ... + 256442371.

It is an arithmetic number, because the mean of its divisors is an integer number (2080926469440).

Almost surely, 2^{110101222001221} is an apocalyptic number.

110101222001221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110101222001221 is a deficient number, since it is larger than the sum of its proper divisors (23078072042939).

110101222001221 is a wasteful number, since it uses less digits than its factorization.

110101222001221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430258.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 110101222001221 its reverse (122100222101011), we get a palindrome (232201444102232).

The spelling of 110101222001221 in words is "one hundred ten trillion, one hundred one billion, two hundred twenty-two million, one thousand, two hundred twenty-one".