Search a number
-
+
100022220101 is a prime number
BaseRepresentation
bin101110100100111001…
…0011111010101000101
3100120011201110020111102
41131021302133111011
53114321142020401
6113541035145445
710140433562066
oct1351162372505
9316151406442
10100022220101
1139467a32421
12174752a5285
1395802bc52b
144babda656d
15290617856b
hex1749c9f545

100022220101 has 2 divisors, whose sum is σ = 100022220102. Its totient is φ = 100022220100.

The previous prime is 100022220097. The next prime is 100022220113. The reversal of 100022220101 is 101022220001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93636612001 + 6385608100 = 306001^2 + 79910^2 .

It is an emirp because it is prime and its reverse (101022220001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100022220101 - 22 = 100022220097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022223101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011110050 + 50011110051.

It is an arithmetic number, because the mean of its divisors is an integer number (50011110051).

Almost surely, 2100022220101 is an apocalyptic number.

It is an amenable number.

100022220101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022220101 is an equidigital number, since it uses as much as digits as its factorization.

100022220101 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 100022220101 its reverse (101022220001), we get a palindrome (201044440102).

The spelling of 100022220101 in words is "one hundred billion, twenty-two million, two hundred twenty thousand, one hundred one".