110010221100121 has 8 divisors (see below), whose sum is σ = 110040639423624. Its totient is φ = 109979803635840.

The previous prime is 110010221100119. The next prime is 110010221100139. The reversal of 110010221100121 is 121001122010011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 33647702840896 + 76362518259225 = 5800664^2 + 8738565^2 .

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 110010221100121 - 2¹ = 110010221100119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110010221140121) 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, 321989235 + ... + 322330711.

It is an arithmetic number, because the mean of its divisors is an integer number (13755079927953).

Almost surely, 2^{110010221100121} is an apocalyptic number.

It is an amenable number.

110010221100121 is a deficient number, since it is larger than the sum of its proper divisors (30418323503).

110010221100121 is an equidigital number, since it uses as much as digits as its factorization.

110010221100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429611.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 110010221100121 its reverse (121001122010011), we get a palindrome (231011343110132).

The spelling of 110010221100121 in words is "one hundred ten trillion, ten billion, two hundred twenty-one million, one hundred thousand, one hundred twenty-one".