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1001212112819 is a prime number
BaseRepresentation
bin11101001000111001110…
…01000110111110110011
310112201022012020010200102
432210130321012332303
5112400440300102234
62043541150143015
7132222653353442
oct16443471067663
93481265203612
101001212112819
11356680155226
1214205bab1a6b
137354c441469
143665d40ad59
151b09cd95c7e
hexe91ce46fb3

1001212112819 has 2 divisors, whose sum is σ = 1001212112820. Its totient is φ = 1001212112818.

The previous prime is 1001212112809. The next prime is 1001212112837. The reversal of 1001212112819 is 9182112121001.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1001212112819 is a prime.

It is a super-2 number, since 2×10012121128192 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1001212112791 and 1001212112800.

It is not a weakly prime, because it can be changed into another prime (1001212112809) 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, 500606056409 + 500606056410.

It is an arithmetic number, because the mean of its divisors is an integer number (500606056410).

Almost surely, 21001212112819 is an apocalyptic number.

1001212112819 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001212112819 is an equidigital number, since it uses as much as digits as its factorization.

1001212112819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 29.

The spelling of 1001212112819 in words is "one trillion, one billion, two hundred twelve million, one hundred twelve thousand, eight hundred nineteen".