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101120020021 is a prime number
BaseRepresentation
bin101111000101100111…
…0010000111000110101
3100200000020011020212201
41132023032100320311
53124043211120041
6114242012544501
710206563662666
oct1361316207065
9320006136781
10101120020021
1139980684789
1217720a82131
1396c687c997
144c73ad136d
15296c727631
hex178b390e35

101120020021 has 2 divisors, whose sum is σ = 101120020022. Its totient is φ = 101120020020.

The previous prime is 101120020019. The next prime is 101120020031. The reversal of 101120020021 is 120020021101.

It is an a-pointer prime, because the next prime (101120020031) can be obtained adding 101120020021 to its sum of digits (10).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83614083921 + 17505936100 = 289161^2 + 132310^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120020021 - 21 = 101120020019 is a prime.

Together with 101120020019, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101120020031) 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, 50560010010 + 50560010011.

It is an arithmetic number, because the mean of its divisors is an integer number (50560010011).

Almost surely, 2101120020021 is an apocalyptic number.

It is an amenable number.

101120020021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120020021 is an equidigital number, since it uses as much as digits as its factorization.

101120020021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101120020021 its reverse (120020021101), we get a palindrome (221140041122).

It can be divided in two parts, 101 and 120020021, that multiplied together give a palindrome (12122022121).

The spelling of 101120020021 in words is "one hundred one billion, one hundred twenty million, twenty thousand, twenty-one".