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10122010210993 is a prime number
BaseRepresentation
bin1001001101001011011011…
…0100101011001010110001
31022211122200021222011101211
42103102312310223022301
52311314334103222433
633305553131200121
72063201564130202
oct223226664531261
938748607864354
1010122010210993
1132527a197a43a
1211758688a6041
13585669953845
1426dc9d42b5a9
1512846b6268cd
hex934b6d2b2b1

10122010210993 has 2 divisors, whose sum is σ = 10122010210994. Its totient is φ = 10122010210992.

The previous prime is 10122010210987. The next prime is 10122010211021. The reversal of 10122010210993 is 39901201022101.

10122010210993 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., 5569279044624 + 4552731166369 = 2359932^2 + 2133713^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10122010210993 is a prime.

It is a super-2 number, since 2×101220102109932 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10122010210903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5061005105496 + 5061005105497.

It is an arithmetic number, because the mean of its divisors is an integer number (5061005105497).

Almost surely, 210122010210993 is an apocalyptic number.

It is an amenable number.

10122010210993 is a deficient number, since it is larger than the sum of its proper divisors (1).

10122010210993 is an equidigital number, since it uses as much as digits as its factorization.

10122010210993 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 10122010210993 in words is "ten trillion, one hundred twenty-two billion, ten million, two hundred ten thousand, nine hundred ninety-three".