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12102111001249 is a prime number
BaseRepresentation
bin1011000000011011111000…
…0001101111101010100001
31120211221122220221102100121
42300012332001233222201
53041240110404014444
641423344423120241
72356230410134423
oct260067601575241
946757586842317
1012102111001249
113946527182435
1214355785a3081
1369a2bb66c699
142dba61150813
1515ec0c647084
hexb01be06faa1

12102111001249 has 2 divisors, whose sum is σ = 12102111001250. Its totient is φ = 12102111001248.

The previous prime is 12102111001177. The next prime is 12102111001289. The reversal of 12102111001249 is 94210011120121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10868527595025 + 1233583406224 = 3296745^2 + 1110668^2 .

It is a cyclic number.

It is not a de Polignac number, because 12102111001249 - 217 = 12102110870177 is a prime.

It is a super-2 number, since 2×121021110012492 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12102111001289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6051055500624 + 6051055500625.

It is an arithmetic number, because the mean of its divisors is an integer number (6051055500625).

Almost surely, 212102111001249 is an apocalyptic number.

It is an amenable number.

12102111001249 is a deficient number, since it is larger than the sum of its proper divisors (1).

12102111001249 is an equidigital number, since it uses as much as digits as its factorization.

12102111001249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 25.

The spelling of 12102111001249 in words is "twelve trillion, one hundred two billion, one hundred eleven million, one thousand, two hundred forty-nine".