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101022021973 is a prime number
BaseRepresentation
bin101111000010101100…
…0011011100101010101
3100122202101202102211101
41132011120123211111
53123343114200343
6114224152310101
710204264006255
oct1360530334525
9318671672741
10101022021973
1139930330364
12176b40a2331
1396ac48a482
144c64aa1965
152963d1ae4d
hex178561b955

101022021973 has 2 divisors, whose sum is σ = 101022021974. Its totient is φ = 101022021972.

The previous prime is 101022021967. The next prime is 101022022033. The reversal of 101022021973 is 379120220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98959318084 + 2062703889 = 314578^2 + 45417^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101022021973 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022121973) 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, 50511010986 + 50511010987.

It is an arithmetic number, because the mean of its divisors is an integer number (50511010987).

Almost surely, 2101022021973 is an apocalyptic number.

It is an amenable number.

101022021973 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022021973 is an equidigital number, since it uses as much as digits as its factorization.

101022021973 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1512, while the sum is 28.

The spelling of 101022021973 in words is "one hundred one billion, twenty-two million, twenty-one thousand, nine hundred seventy-three".