110022211220101 has 8 divisors (see below), whose sum is σ = 116908675775064. Its totient is φ = 103181809973760.

The previous prime is 110022211220087. The next prime is 110022211220111. The reversal of 110022211220101 is 101022112220011.

It can be written as a sum of positive squares in 4 ways, for example, as 58566480459876 + 51455730760225 = 7652874^2 + 7173265^2 .

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 110022211220101 - 2³⁵ = 109987851481733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110022211220111) 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, 11515822230 + ... + 11515831783.

It is an arithmetic number, because the mean of its divisors is an integer number (14613584471883).

Almost surely, 2^{110022211220101} is an apocalyptic number.

It is an amenable number.

110022211220101 is a deficient number, since it is larger than the sum of its proper divisors (6886464554963).

110022211220101 is a wasteful number, since it uses less digits than its factorization.

110022211220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23031654311.

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

Adding to 110022211220101 its reverse (101022112220011), we get a palindrome (211044323440112).

The spelling of 110022211220101 in words is "one hundred ten trillion, twenty-two billion, two hundred eleven million, two hundred twenty thousand, one hundred one".