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100120220021221 is a prime number
BaseRepresentation
bin10110110000111100001110…
…001001100011000111100101
3111010111101210021111101011021
4112300330032021203013211
5101110332202311134341
6552534332155011141
730042306246360031
oct2660741611430745
9433441707441137
10100120220021221
11299a0824089514
12b28bb77139ab1
1343b33b0aa758a
141aa1bb746d1c1
15b89553c369d1
hex5b0f0e2631e5

100120220021221 has 2 divisors, whose sum is σ = 100120220021222. Its totient is φ = 100120220021220.

The previous prime is 100120220021179. The next prime is 100120220021243. The reversal of 100120220021221 is 122120022021001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 67054971464100 + 33065248557121 = 8188710^2 + 5750239^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120220021221 - 231 = 100118072537573 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100120220021195 and 100120220021204.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100120220021621) 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, 50060110010610 + 50060110010611.

It is an arithmetic number, because the mean of its divisors is an integer number (50060110010611).

Almost surely, 2100120220021221 is an apocalyptic number.

It is an amenable number.

100120220021221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100120220021221 is an equidigital number, since it uses as much as digits as its factorization.

100120220021221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 100120220021221 its reverse (122120022021001), we get a palindrome (222240242042222).

The spelling of 100120220021221 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty million, twenty-one thousand, two hundred twenty-one".