1009192910101 has 2 divisors, whose sum is σ = 1009192910102. Its totient is φ = 1009192910100.

The previous prime is 1009192910081. The next prime is 1009192910147. The reversal of 1009192910101 is 1010192919001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1009191022225 + 1887876 = 1004585^2 + 1374^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1009192910101 is a prime.

It is a super-4 number, since 4×1009192910101⁴ (a number of 49 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1009192916101) 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, 504596455050 + 504596455051.

It is an arithmetic number, because the mean of its divisors is an integer number (504596455051).

Almost surely, 2^{1009192910101} is an apocalyptic number.

It is an amenable number.

1009192910101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1009192910101 is an equidigital number, since it uses as much as digits as its factorization.

1009192910101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 34.

The spelling of 1009192910101 in words is "one trillion, nine billion, one hundred ninety-two million, nine hundred ten thousand, one hundred one".