110022100211121 has 72 divisors (see below), whose sum is σ = 180377724744000. Its totient is φ = 58422522622464.

The previous prime is 110022100211119. The next prime is 110022100211147. The reversal of 110022100211121 is 121112001220011.

It is a happy number.

It is not a de Polignac number, because 110022100211121 - 2¹ = 110022100211119 is a prime.

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 110022100211121.

It is not an unprimeable number, because it can be changed into a prime (110022100211021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36424255 + ... + 39329003.

It is an arithmetic number, because the mean of its divisors is an integer number (2505246177000).

Almost surely, 2^{110022100211121} is an apocalyptic number.

It is an amenable number.

110022100211121 is a deficient number, since it is larger than the sum of its proper divisors (70355624532879).

110022100211121 is an equidigital number, since it uses as much as digits as its factorization.

110022100211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2904951 (or 2904855 counting only the distinct ones).

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

Adding to 110022100211121 its reverse (121112001220011), we get a palindrome (231134101431132).

The spelling of 110022100211121 in words is "one hundred ten trillion, twenty-two billion, one hundred million, two hundred eleven thousand, one hundred twenty-one".