Search a number
-
+
101200022101 is a prime number
BaseRepresentation
bin101111000111111111…
…1011100101001010101
3100200012210200210002201
41132033333130221111
53124224201201401
6114253551404501
710211554665133
oct1361777345125
9320183623081
10101200022101
1139a11857502
1217743823731
13970a310ca9
144c80598753
15297477bb01
hex178ffdca55

101200022101 has 2 divisors, whose sum is σ = 101200022102. Its totient is φ = 101200022100.

The previous prime is 101200022039. The next prime is 101200022123. The reversal of 101200022101 is 101220002101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63476283025 + 37723739076 = 251945^2 + 194226^2 .

It is a cyclic number.

It is not a de Polignac number, because 101200022101 - 229 = 100663151189 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101200022401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600011050 + 50600011051.

It is an arithmetic number, because the mean of its divisors is an integer number (50600011051).

Almost surely, 2101200022101 is an apocalyptic number.

It is an amenable number.

101200022101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101200022101 is an equidigital number, since it uses as much as digits as its factorization.

101200022101 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 101200022101 its reverse (101220002101), we get a palindrome (202420024202).

The spelling of 101200022101 in words is "one hundred one billion, two hundred million, twenty-two thousand, one hundred one".