Search a number
-
+
100022202101 is a prime number
BaseRepresentation
bin101110100100111001…
…0011010111011110101
3100120011201102022210202
41131021302122323311
53114321140431401
6113541034530245
710140433455443
oct1351162327365
9316151368722
10100022202101
1139467a1a948
1217475296985
1395802b4293
144babd9db93
15290617306b
hex1749c9aef5

100022202101 has 2 divisors, whose sum is σ = 100022202102. Its totient is φ = 100022202100.

The previous prime is 100022202061. The next prime is 100022202109. The reversal of 100022202101 is 101202220001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97375202500 + 2646999601 = 312050^2 + 51449^2 .

It is an emirp because it is prime and its reverse (101202220001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100022202101 - 210 = 100022201077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022202109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011101050 + 50011101051.

It is an arithmetic number, because the mean of its divisors is an integer number (50011101051).

Almost surely, 2100022202101 is an apocalyptic number.

It is an amenable number.

100022202101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022202101 is an equidigital number, since it uses as much as digits as its factorization.

100022202101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100022202101 its reverse (101202220001), we get a palindrome (201224422102).

The spelling of 100022202101 in words is "one hundred billion, twenty-two million, two hundred two thousand, one hundred one".