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10021415101 is a prime number
BaseRepresentation
bin10010101010101001…
…01010100010111101
3221212102001122010021
421111110222202331
5131010440240401
64334225412141
7503224423435
oct112524524275
927772048107
1010021415101
114282911545
121b3819a051
13c39277a29
146b0d392c5
153d9bdd2a1
hex25552a8bd

10021415101 has 2 divisors, whose sum is σ = 10021415102. Its totient is φ = 10021415100.

The previous prime is 10021415083. The next prime is 10021415113. The reversal of 10021415101 is 10151412001.

10021415101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8190431001 + 1830984100 = 90501^2 + 42790^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021415101 - 25 = 10021415069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10021415141) 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 as a sum of consecutive naturals, namely, 5010707550 + 5010707551.

It is an arithmetic number, because the mean of its divisors is an integer number (5010707551).

Almost surely, 210021415101 is an apocalyptic number.

It is an amenable number.

10021415101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021415101 is an equidigital number, since it uses as much as digits as its factorization.

10021415101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 10021415101 its reverse (10151412001), we get a palindrome (20172827102).

The spelling of 10021415101 in words is "ten billion, twenty-one million, four hundred fifteen thousand, one hundred one".