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100132220070221 is a prime number
BaseRepresentation
bin10110110001000111011001…
…011010000110100101001101
3111010112112202120201000201112
4112301013121122012211031
5101111031241314221341
6552544035025421405
730043212521166443
oct2661073132064515
9433475676630645
10100132220070221
11299a5921873989
12b292365a9a865
1343b4573c584a1
141aa25d50a0b93
15b89a074b6aeb
hex5b11d968694d

100132220070221 has 2 divisors, whose sum is σ = 100132220070222. Its totient is φ = 100132220070220.

The previous prime is 100132220070193. The next prime is 100132220070227. The reversal of 100132220070221 is 122070022231001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89052042954121 + 11080177116100 = 9436739^2 + 3328690^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100132220070221 is a prime.

It is a super-2 number, since 2×1001322200702212 (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 (100132220070227) 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, 50066110035110 + 50066110035111.

It is an arithmetic number, because the mean of its divisors is an integer number (50066110035111).

Almost surely, 2100132220070221 is an apocalyptic number.

It is an amenable number.

100132220070221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100132220070221 is an equidigital number, since it uses as much as digits as its factorization.

100132220070221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 23.

The spelling of 100132220070221 in words is "one hundred trillion, one hundred thirty-two billion, two hundred twenty million, seventy thousand, two hundred twenty-one".