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10102121167 is a prime number
BaseRepresentation
bin10010110100010001…
…00010001011001111
3222002000220221000211
421122020202023033
5131142120334132
64350231303251
7505224420205
oct113210421317
928060827024
1010102121167
114314425176
121b5b21ab27
13c4cbc45b8
146bb947075
153e1d31147
hex25a2222cf

10102121167 has 2 divisors, whose sum is σ = 10102121168. Its totient is φ = 10102121166.

The previous prime is 10102121053. The next prime is 10102121173. The reversal of 10102121167 is 76112120101.

It is a strong prime.

It is an emirp because it is prime and its reverse (76112120101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10102121167 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102121467) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051060583 + 5051060584.

It is an arithmetic number, because the mean of its divisors is an integer number (5051060584).

Almost surely, 210102121167 is an apocalyptic number.

10102121167 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102121167 is an equidigital number, since it uses as much as digits as its factorization.

10102121167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

Adding to 10102121167 its reverse (76112120101), we get a palindrome (86214241268).

The spelling of 10102121167 in words is "ten billion, one hundred two million, one hundred twenty-one thousand, one hundred sixty-seven".