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10212020221993 is a prime number
BaseRepresentation
bin1001010010011010101111…
…0101100111100000101001
31100011021000020200111000221
42110212223311213200221
52314303204134100433
633415200510130041
72102536244450302
oct224465365474051
940137006614027
1010212020221993
113287991208987
12118b1a8ab0921
13590cb286c695
1427439b7b37a9
1512a9887ce72d
hex949abd67829

10212020221993 has 2 divisors, whose sum is σ = 10212020221994. Its totient is φ = 10212020221992.

The previous prime is 10212020221957. The next prime is 10212020222059. The reversal of 10212020221993 is 39912202021201.

10212020221993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10101133219984 + 110887002009 = 3178228^2 + 332997^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10212020221993 is a prime.

It is a super-2 number, since 2×102120202219932 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10212020227993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106010110996 + 5106010110997.

It is an arithmetic number, because the mean of its divisors is an integer number (5106010110997).

Almost surely, 210212020221993 is an apocalyptic number.

It is an amenable number.

10212020221993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212020221993 is an equidigital number, since it uses as much as digits as its factorization.

10212020221993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 34.

The spelling of 10212020221993 in words is "ten trillion, two hundred twelve billion, twenty million, two hundred twenty-one thousand, nine hundred ninety-three".