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101101323221 is a prime number
BaseRepresentation
bin101111000101000011…
…0111100001111010101
3100122221220222100200122
41132022012330033111
53124023414320341
6114240104121325
710206246032243
oct1361206741725
9318856870618
10101101323221
1139971074588
1217716766245
1396c2a347a2
144c71425793
15296ac8294b
hex178a1bc3d5

101101323221 has 2 divisors, whose sum is σ = 101101323222. Its totient is φ = 101101323220.

The previous prime is 101101323179. The next prime is 101101323227. The reversal of 101101323221 is 122323101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85913472100 + 15187851121 = 293110^2 + 123239^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101323221 - 26 = 101101323157 is a prime.

It is a super-2 number, since 2×1011013232212 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101101323221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101101323227) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550661610 + 50550661611.

It is an arithmetic number, because the mean of its divisors is an integer number (50550661611).

Almost surely, 2101101323221 is an apocalyptic number.

It is an amenable number.

101101323221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101101323221 is an equidigital number, since it uses as much as digits as its factorization.

101101323221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101101323221 its reverse (122323101101), we get a palindrome (223424424322).

It can be divided in two parts, 10110 and 1323221, that added together give a palindrome (1333331).

The spelling of 101101323221 in words is "one hundred one billion, one hundred one million, three hundred twenty-three thousand, two hundred twenty-one".