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102121000019 is a prime number
BaseRepresentation
bin101111100011011100…
…0101100110001010011
3100202120222200022021222
41133012320230301103
53133120434000034
6114525211235255
710243440115013
oct1370670546123
9322528608258
10102121000019
113a344707885
1217960148b2b
139826070c3c
144d2aa15c43
1529ca54e12e
hex17c6e2cc53

102121000019 has 2 divisors, whose sum is σ = 102121000020. Its totient is φ = 102121000018.

The previous prime is 102120999989. The next prime is 102121000021. The reversal of 102121000019 is 910000121201.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102121000019 is a prime.

It is a super-2 number, since 2×1021210000192 (a number of 23 digits) contains 22 as substring.

Together with 102121000021, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102120999970 and 102121000006.

It is not a weakly prime, because it can be changed into another prime (102121008019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51060500009 + 51060500010.

It is an arithmetic number, because the mean of its divisors is an integer number (51060500010).

Almost surely, 2102121000019 is an apocalyptic number.

102121000019 is a deficient number, since it is larger than the sum of its proper divisors (1).

102121000019 is an equidigital number, since it uses as much as digits as its factorization.

102121000019 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

It can be divided in two parts, 102 and 121000019, that added together give a palindrome (121000121).

The spelling of 102121000019 in words is "one hundred two billion, one hundred twenty-one million, nineteen", and thus it is an aban number.