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101020012021 is a prime number
BaseRepresentation
bin101111000010101000…
…0110000110111110101
3100122202020222022200201
41132011100300313311
53123342110341041
6114224041240501
710204240635325
oct1360520606765
9318666868621
10101020012021
113992a188245
12176b3493131
1396abc35656
144c646db285
152963a70631
hex1785430df5

101020012021 has 2 divisors, whose sum is σ = 101020012022. Its totient is φ = 101020012020.

The previous prime is 101020012007. The next prime is 101020012063. The reversal of 101020012021 is 120210020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95797059121 + 5222952900 = 309511^2 + 72270^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020012021 - 211 = 101020009973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101020011989 and 101020012007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020012001) 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, 50510006010 + 50510006011.

It is an arithmetic number, because the mean of its divisors is an integer number (50510006011).

Almost surely, 2101020012021 is an apocalyptic number.

It is an amenable number.

101020012021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020012021 is an equidigital number, since it uses as much as digits as its factorization.

101020012021 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 101020012021 its reverse (120210020101), we get a palindrome (221230032122).

The spelling of 101020012021 in words is "one hundred one billion, twenty million, twelve thousand, twenty-one".