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102011212120093 is a prime number
BaseRepresentation
bin10111001100011101010110…
…000011111100000000011101
3111101012011202202202002112221
4113030131112003330000131
5101332322430300320333
61000543145350225341
730326031635120143
oct2714352603740035
9441164682662487
10102011212120093
112a55a7918a6811
12b536558655251
1344bc8015437b3
141b295247cb593
15bbd82bc8bd2d
hex5cc7560fc01d

102011212120093 has 2 divisors, whose sum is σ = 102011212120094. Its totient is φ = 102011212120092.

The previous prime is 102011212120087. The next prime is 102011212120121. The reversal of 102011212120093 is 390021212110201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 56377917641529 + 45633294478564 = 7508523^2 + 6755242^2 .

It is a cyclic number.

It is not a de Polignac number, because 102011212120093 - 25 = 102011212120061 is a prime.

It is a super-3 number, since 3×1020112121200933 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102011212129093) 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, 51005606060046 + 51005606060047.

It is an arithmetic number, because the mean of its divisors is an integer number (51005606060047).

Almost surely, 2102011212120093 is an apocalyptic number.

It is an amenable number.

102011212120093 is a deficient number, since it is larger than the sum of its proper divisors (1).

102011212120093 is an equidigital number, since it uses as much as digits as its factorization.

102011212120093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 102011212120093 its reverse (390021212110201), we get a palindrome (492032424230294).

The spelling of 102011212120093 in words is "one hundred two trillion, eleven billion, two hundred twelve million, one hundred twenty thousand, ninety-three".