100022002110101 has 4 divisors (see below), whose sum is σ = 100145638701900. Its totient is φ = 99898365518304.

The previous prime is 100022002110059. The next prime is 100022002110119. The reversal of 100022002110101 is 101011200220001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 94358201854225 + 5663800255876 = 9713815^2 + 2379874^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022002110101 - 2³⁸ = 99747124203157 is a prime.

It is a super-2 number, since 2×100022002110101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100022002110161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 61818294686 + ... + 61818296303.

It is an arithmetic number, because the mean of its divisors is an integer number (25036409675475).

Almost surely, 2^{100022002110101} is an apocalyptic number.

It is an amenable number.

100022002110101 is a deficient number, since it is larger than the sum of its proper divisors (123636591799).

100022002110101 is an equidigital number, since it uses as much as digits as its factorization.

100022002110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123636591798.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100022002110101 its reverse (101011200220001), we get a palindrome (201033202330102).

The spelling of 100022002110101 in words is "one hundred trillion, twenty-two billion, two million, one hundred ten thousand, one hundred one".