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101100101021 is a prime number
BaseRepresentation
bin101111000101000001…
…0010001110110011101
3100122221211200021010222
41132022002101312131
53124023111213041
6114240022011125
710206232452053
oct1361202216635
9318854607128
10101100101021
113997040a2a7
1217716276aa5
1396c26c73aa
144c711c81d3
15296aae074b
hex178a091d9d

101100101021 has 2 divisors, whose sum is σ = 101100101022. Its totient is φ = 101100101020.

The previous prime is 101100100987. The next prime is 101100101033. The reversal of 101100101021 is 120101001101.

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., 67919656996 + 33180444025 = 260614^2 + 182155^2 .

It is an emirp because it is prime and its reverse (120101001101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101100101021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101100101071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550050510 + 50550050511.

It is an arithmetic number, because the mean of its divisors is an integer number (50550050511).

Almost surely, 2101100101021 is an apocalyptic number.

It is an amenable number.

101100101021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100101021 is an equidigital number, since it uses as much as digits as its factorization.

101100101021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101100101021 its reverse (120101001101), we get a palindrome (221201102122).

The spelling of 101100101021 in words is "one hundred one billion, one hundred million, one hundred one thousand, twenty-one".