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101012201221 is a prime number
BaseRepresentation
bin101111000010011001…
…0111101111100000101
3100122201201021111021211
41132010302331330011
53123333110414341
6114223202011421
710204114354321
oct1360462757405
9318651244254
10101012201221
1139925832938
12176b0946b71
1396aa42c389
144c63666981
15296302b181
hex1784cbdf05

101012201221 has 2 divisors, whose sum is σ = 101012201222. Its totient is φ = 101012201220.

The previous prime is 101012201219. The next prime is 101012201291. The reversal of 101012201221 is 122102210101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97665000196 + 3347201025 = 312514^2 + 57855^2 .

It is a cyclic number.

It is not a de Polignac number, because 101012201221 - 21 = 101012201219 is a prime.

Together with 101012201219, 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 (101012201291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506100610 + 50506100611.

It is an arithmetic number, because the mean of its divisors is an integer number (50506100611).

Almost surely, 2101012201221 is an apocalyptic number.

It is an amenable number.

101012201221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012201221 is an equidigital number, since it uses as much as digits as its factorization.

101012201221 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 101012201221 its reverse (122102210101), we get a palindrome (223114411322).

The spelling of 101012201221 in words is "one hundred one billion, twelve million, two hundred one thousand, two hundred twenty-one".