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100110122221 is a prime number
BaseRepresentation
bin101110100111100000…
…1110011110011101101
3100120101211212010112111
41131033001303303231
53120011142402341
6113553455204021
710142551666354
oct1351701636355
9316354763474
10100110122221
11395026105aa
121749a816611
139595588615
144bb992899b
15290dc3d681
hex174f073ced

100110122221 has 2 divisors, whose sum is σ = 100110122222. Its totient is φ = 100110122220.

The previous prime is 100110122213. The next prime is 100110122237. The reversal of 100110122221 is 122221011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70219170121 + 29890952100 = 264989^2 + 172890^2 .

It is an emirp because it is prime and its reverse (122221011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100110122221 - 23 = 100110122213 is a prime.

It is a super-2 number, since 2×1001101222212 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100110122821) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50055061110 + 50055061111.

It is an arithmetic number, because the mean of its divisors is an integer number (50055061111).

Almost surely, 2100110122221 is an apocalyptic number.

It is an amenable number.

100110122221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100110122221 is an equidigital number, since it uses as much as digits as its factorization.

100110122221 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 100110122221 its reverse (122221011001), we get a palindrome (222331133222).

The spelling of 100110122221 in words is "one hundred billion, one hundred ten million, one hundred twenty-two thousand, two hundred twenty-one".