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100121222093 is a prime number
BaseRepresentation
bin101110100111110110…
…0001001101111001101
3100120102121202001200212
41131033230021233031
53120022013101333
6113554533132205
710143045226454
oct1351754115715
9316377661625
10100121222093
1139508902052
12174a248a065
1395979739a9
144bbb1b7b9b
15290ebd2448
hex174fb09bcd

100121222093 has 2 divisors, whose sum is σ = 100121222094. Its totient is φ = 100121222092.

The previous prime is 100121222087. The next prime is 100121222141. The reversal of 100121222093 is 390222121001.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 99869904484 + 251317609 = 316022^2 + 15853^2 .

It is a cyclic number.

It is not a de Polignac number, because 100121222093 - 24 = 100121222077 is a prime.

It is a super-2 number, since 2×1001212220932 (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 (100121221093) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060611046 + 50060611047.

It is an arithmetic number, because the mean of its divisors is an integer number (50060611047).

Almost surely, 2100121222093 is an apocalyptic number.

It is an amenable number.

100121222093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100121222093 is an equidigital number, since it uses as much as digits as its factorization.

100121222093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 100121222093 its reverse (390222121001), we get a palindrome (490343343094).

The spelling of 100121222093 in words is "one hundred billion, one hundred twenty-one million, two hundred twenty-two thousand, ninety-three".