Search a number
-
+
101010202021 is a prime number
BaseRepresentation
bin101111000010010101…
…1010101110110100101
3100122201120111220220101
41132010223111312211
53123332102431041
6114223051104101
710204061356621
oct1360453256645
9318646456811
10101010202021
1139924697903
12176b0142031
1396a9bac411
144c632a6181
152962c83b31
hex1784ad5da5

101010202021 has 2 divisors, whose sum is σ = 101010202022. Its totient is φ = 101010202020.

The previous prime is 101010201989. The next prime is 101010202043. The reversal of 101010202021 is 120202010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100254556900 + 755645121 = 316630^2 + 27489^2 .

It is an emirp because it is prime and its reverse (120202010101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101010202021 - 25 = 101010201989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101010201989 and 101010202007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101010208021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505101010 + 50505101011.

It is an arithmetic number, because the mean of its divisors is an integer number (50505101011).

Almost surely, 2101010202021 is an apocalyptic number.

It is an amenable number.

101010202021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010202021 is an equidigital number, since it uses as much as digits as its factorization.

101010202021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101010202021 its reverse (120202010101), we get a palindrome (221212212122).

It can be divided in two parts, 101010 and 202021, that added together give a triangular number (303031 = T778).

The spelling of 101010202021 in words is "one hundred one billion, ten million, two hundred two thousand, twenty-one".