10022132101 has 8 divisors (see below), whose sum is σ = 10068985080. Its totient is φ = 9975306432.

The previous prime is 10022132093. The next prime is 10022132117. The reversal of 10022132101 is 10123122001.

10022132101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19131876 + 10003000225 = 4374^2 + 100015^2 .

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 10022132101 - 2³ = 10022132093 is a prime.

It is a super-3 number, since 3×10022132101³ (a number of 31 digits) contains 333 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 (10022132191) 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, 1272291 + ... + 1280143.

It is an arithmetic number, because the mean of its divisors is an integer number (1258623135).

Almost surely, 2^10022132101 is an apocalyptic number.

It is an amenable number.

10022132101 is a deficient number, since it is larger than the sum of its proper divisors (46852979).

10022132101 is an equidigital number, since it uses as much as digits as its factorization.

10022132101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13655.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10022132101 its reverse (10123122001), we get a palindrome (20145254102).

The spelling of 10022132101 in words is "ten billion, twenty-two million, one hundred thirty-two thousand, one hundred one".