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101221012021 is a prime number
BaseRepresentation
bin101111001000100111…
…1100001001000110101
3100200021021012011212011
41132101033201020311
53124300034341041
6114300021324221
710212231256213
oct1362117411065
9320237164764
10101221012021
1139a22693548
121774a866671
13971177cb6c
144c8329dcb3
152976525e81
hex17913e1235

101221012021 has 2 divisors, whose sum is σ = 101221012022. Its totient is φ = 101221012020.

The previous prime is 101221012019. The next prime is 101221012031. The reversal of 101221012021 is 120210122101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100670405796 + 550606225 = 317286^2 + 23465^2 .

It is a cyclic number.

It is not a de Polignac number, because 101221012021 - 21 = 101221012019 is a prime.

Together with 101221012019, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 101221011992 and 101221012010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101221012001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50610506010 + 50610506011.

It is an arithmetic number, because the mean of its divisors is an integer number (50610506011).

Almost surely, 2101221012021 is an apocalyptic number.

It is an amenable number.

101221012021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101221012021 is an equidigital number, since it uses as much as digits as its factorization.

101221012021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101221012021 its reverse (120210122101), we get a palindrome (221431134122).

The spelling of 101221012021 in words is "one hundred one billion, two hundred twenty-one million, twelve thousand, twenty-one".