10022100101 has 8 divisors (see below), whose sum is σ = 10794714840. Its totient is φ = 9249725952.

The previous prime is 10022100091. The next prime is 10022100173. The reversal of 10022100101 is 10100122001.

It can be written as a sum of positive squares in 4 ways, for example, as 899940001 + 9122160100 = 29999^2 + 95510^2 .

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 10022100101 - 2¹⁴ = 10022083717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022100191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31565 + ... + 145053.

It is an arithmetic number, because the mean of its divisors is an integer number (1349339355).

Almost surely, 2^10022100101 is an apocalyptic number.

It is an amenable number.

10022100101 is a deficient number, since it is larger than the sum of its proper divisors (772614739).

10022100101 is a wasteful number, since it uses less digits than its factorization.

10022100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120295.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10022100101 its reverse (10100122001), we get a palindrome (20122222102).

The spelling of 10022100101 in words is "ten billion, twenty-two million, one hundred thousand, one hundred one".