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100120111222093 is a prime number
BaseRepresentation
bin10110110000111100000111…
…101010100000110101001101
3111010111101111200202210210221
4112300330013222200311031
5101110331441433101333
6552534313311031341
730042303455526304
oct2660740752406515
9433441450683727
10100120111222093
11299a0778728086
12b28bb4680b551
1343b33943a29b1
141aa1ba6c2b43b
15b895493e4d2d
hex5b0f07aa0d4d

100120111222093 has 2 divisors, whose sum is σ = 100120111222094. Its totient is φ = 100120111222092.

The previous prime is 100120111222073. The next prime is 100120111222123. The reversal of 100120111222093 is 390222111021001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85027523355369 + 15092587866724 = 9221037^2 + 3884918^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120111222093 - 245 = 64935739133261 is a prime.

It is a super-2 number, since 2×1001201112220932 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100120111222003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50060055611046 + 50060055611047.

It is an arithmetic number, because the mean of its divisors is an integer number (50060055611047).

Almost surely, 2100120111222093 is an apocalyptic number.

It is an amenable number.

100120111222093 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120111222093 is an equidigital number, since it uses as much as digits as its factorization.

100120111222093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 100120111222093 its reverse (390222111021001), we get a palindrome (490342222243094).

The spelling of 100120111222093 in words is "one hundred trillion, one hundred twenty billion, one hundred eleven million, two hundred twenty-two thousand, ninety-three".