110022002120101 has 16 divisors (see below), whose sum is σ = 116860467906864. Its totient is φ = 103224525778944.

The previous prime is 110022002120071. The next prime is 110022002120119. The reversal of 110022002120101 is 101021200220011.

It can be written as a sum of positive squares in 8 ways, for example, as 5423314097601 + 104598688022500 = 2328801^2 + 10227350^2 .

It is a cyclic number.

It is not a de Polignac number, because 110022002120101 - 2¹³ = 110022002111909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110022002130101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9622705 + ... + 17681641.

It is an arithmetic number, because the mean of its divisors is an integer number (7303779244179).

Almost surely, 2^{110022002120101} is an apocalyptic number.

It is an amenable number.

110022002120101 is a deficient number, since it is larger than the sum of its proper divisors (6838465786763).

110022002120101 is a wasteful number, since it uses less digits than its factorization.

110022002120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8061480.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110022002120101 its reverse (101021200220011), we get a palindrome (211043202340112).

The spelling of 110022002120101 in words is "one hundred ten trillion, twenty-two billion, two million, one hundred twenty thousand, one hundred one".