110191020001009 has 2 divisors, whose sum is σ = 110191020001010. Its totient is φ = 110191020001008.

The previous prime is 110191020000953. The next prime is 110191020001033. The reversal of 110191020001009 is 900100020191011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70909401075984 + 39281618925025 = 8420772^2 + 6267505^2 .

It is a cyclic number.

It is not a de Polignac number, because 110191020001009 - 2⁷ = 110191020000881 is a prime.

It is a super-2 number, since 2×110191020001009² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (110191020001039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55095510000504 + 55095510000505.

It is an arithmetic number, because the mean of its divisors is an integer number (55095510000505).

Almost surely, 2^{110191020001009} is an apocalyptic number.

It is an amenable number.

110191020001009 is a deficient number, since it is larger than the sum of its proper divisors (1).

110191020001009 is an equidigital number, since it uses as much as digits as its factorization.

110191020001009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 25.

The spelling of 110191020001009 in words is "one hundred ten trillion, one hundred ninety-one billion, twenty million, one thousand, nine".