10111001102009 has 2 divisors, whose sum is σ = 10111001102010. Its totient is φ = 10111001102008.

The previous prime is 10111001101969. The next prime is 10111001102017. The reversal of 10111001102009 is 90020110011101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9169674253609 + 941326848400 = 3028147^2 + 970220^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111001102009 - 2¹⁶ = 10111001036473 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111001102089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055500551004 + 5055500551005.

It is an arithmetic number, because the mean of its divisors is an integer number (5055500551005).

Almost surely, 2^{10111001102009} is an apocalyptic number.

It is an amenable number.

10111001102009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111001102009 is an equidigital number, since it uses as much as digits as its factorization.

10111001102009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 10111001102009 in words is "ten trillion, one hundred eleven billion, one million, one hundred two thousand, nine".