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100022040101 is a prime number
BaseRepresentation
bin101110100100111000…
…1110011011000100101
3100120011201010002120202
41131021301303120211
53114321120240401
6113541031240245
710140432212234
oct1351161633045
9316151102522
10100022040101
113946791a165
1217475219085
139580258619
144babd5ab1b
15290614006b
hex1749c73625

100022040101 has 2 divisors, whose sum is σ = 100022040102. Its totient is φ = 100022040100.

The previous prime is 100022040091. The next prime is 100022040121. The reversal of 100022040101 is 101040220001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95298777025 + 4723263076 = 308705^2 + 68726^2 .

It is a cyclic number.

It is not a de Polignac number, because 100022040101 - 26 = 100022040037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100022040121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50011020050 + 50011020051.

It is an arithmetic number, because the mean of its divisors is an integer number (50011020051).

Almost surely, 2100022040101 is an apocalyptic number.

It is an amenable number.

100022040101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100022040101 is an equidigital number, since it uses as much as digits as its factorization.

100022040101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100022040101 its reverse (101040220001), we get a palindrome (201062260102).

The spelling of 100022040101 in words is "one hundred billion, twenty-two million, forty thousand, one hundred one".