110022122101021 has 8 divisors (see below), whose sum is σ = 118485583858040. Its totient is φ = 101558692000512.

The previous prime is 110022122101019. The next prime is 110022122101037. The reversal of 110022122101021 is 120101221220011.

It can be written as a sum of positive squares in 4 ways, for example, as 36004680152100 + 74017441948921 = 6000390^2 + 8603339^2 .

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 110022122101021 - 2¹ = 110022122101019 is a prime.

It is a super-2 number, since 2×110022122101021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110022122100986 and 110022122101004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110022122101081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 433920 + ... + 14840233.

It is an arithmetic number, because the mean of its divisors is an integer number (14810697982255).

Almost surely, 2^{110022122101021} is an apocalyptic number.

It is an amenable number.

110022122101021 is a deficient number, since it is larger than the sum of its proper divisors (8463461757019).

110022122101021 is a wasteful number, since it uses less digits than its factorization.

110022122101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15828255.

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

Adding to 110022122101021 its reverse (120101221220011), we get a palindrome (230123343321032).

The spelling of 110022122101021 in words is "one hundred ten trillion, twenty-two billion, one hundred twenty-two million, one hundred one thousand, twenty-one".