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10212100120993 is a prime number
BaseRepresentation
bin1001010010011011000010…
…0110011010000110100001
31100011021012211000202212011
42110212300212122012201
52314303340112332433
633415212442432521
72102541234543061
oct224466046320641
940137184022764
1010212100120993
113287a22320211
12118b20b802741
13590cc6295ab4
142743a82513a1
1512a9908133cd
hex949b099a1a1

10212100120993 has 2 divisors, whose sum is σ = 10212100120994. Its totient is φ = 10212100120992.

The previous prime is 10212100120939. The next prime is 10212100121071. The reversal of 10212100120993 is 39902100121201.

Together with previous prime (10212100120939) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9500493150369 + 711606970624 = 3082287^2 + 843568^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10212100120993 is a prime.

It is not a weakly prime, because it can be changed into another prime (10212100120393) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106050060496 + 5106050060497.

It is an arithmetic number, because the mean of its divisors is an integer number (5106050060497).

Almost surely, 210212100120993 is an apocalyptic number.

It is an amenable number.

10212100120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212100120993 is an equidigital number, since it uses as much as digits as its factorization.

10212100120993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1944, while the sum is 31.

The spelling of 10212100120993 in words is "ten trillion, two hundred twelve billion, one hundred million, one hundred twenty thousand, nine hundred ninety-three".