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101012210021 is a prime number
BaseRepresentation
bin101111000010011001…
…1000000000101100101
3100122201201021221100202
41132010303000011211
53123333111210041
6114223202120245
710204114422062
oct1360463000545
9318651257322
10101012210021
1139925839508
12176b0950085
1396aa433398
144c63669c69
15296302da9b
hex1784cc0165

101012210021 has 2 divisors, whose sum is σ = 101012210022. Its totient is φ = 101012210020.

The previous prime is 101012209931. The next prime is 101012210023. The reversal of 101012210021 is 120012210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88081336225 + 12930873796 = 296785^2 + 113714^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-101012210021 is a prime.

It is a super-2 number, since 2×1010122100212 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 101012210023, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101012209984 and 101012210011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101012210023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506105010 + 50506105011.

It is an arithmetic number, because the mean of its divisors is an integer number (50506105011).

Almost surely, 2101012210021 is an apocalyptic number.

It is an amenable number.

101012210021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012210021 is an equidigital number, since it uses as much as digits as its factorization.

101012210021 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 11.

Adding to 101012210021 its reverse (120012210101), we get a palindrome (221024420122).

The spelling of 101012210021 in words is "one hundred one billion, twelve million, two hundred ten thousand, twenty-one".