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101011010077 is a prime number
BaseRepresentation
bin101111000010010111…
…0011011001000011101
3100122201122000222100101
41132010232123020131
53123332304310302
6114223120301101
710204101263515
oct1360456331035
9318648028311
10101011010077
1139925099a1a
12176b0471791
1396aa103163
144c63436845
152962d93287
hex1784b9b21d

101011010077 has 2 divisors, whose sum is σ = 101011010078. Its totient is φ = 101011010076.

The previous prime is 101011010071. The next prime is 101011010119. The reversal of 101011010077 is 770010110101.

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., 80740654201 + 20270355876 = 284149^2 + 142374^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011010077 - 211 = 101011008029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101011010071) 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, 50505505038 + 50505505039.

It is an arithmetic number, because the mean of its divisors is an integer number (50505505039).

Almost surely, 2101011010077 is an apocalyptic number.

It is an amenable number.

101011010077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101011010077 is an equidigital number, since it uses as much as digits as its factorization.

101011010077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49, while the sum is 19.

Adding to 101011010077 its reverse (770010110101), we get a palindrome (871021120178).

The spelling of 101011010077 in words is "one hundred one billion, eleven million, ten thousand, seventy-seven".