110010101099993 has 2 divisors, whose sum is σ = 110010101099994. Its totient is φ = 110010101099992.

The previous prime is 110010101099981. The next prime is 110010101100013. The reversal of 110010101099993 is 399990101010011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82479963095104 + 27530138004889 = 9081848^2 + 5246917^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010101099993 - 2⁶ = 110010101099929 is a prime.

It is not a weakly prime, because it can be changed into another prime (110010101099903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005050549996 + 55005050549997.

It is an arithmetic number, because the mean of its divisors is an integer number (55005050549997).

Almost surely, 2^{110010101099993} is an apocalyptic number.

It is an amenable number.

110010101099993 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010101099993 is an equidigital number, since it uses as much as digits as its factorization.

110010101099993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 19683, while the sum is 44.

The spelling of 110010101099993 in words is "one hundred ten trillion, ten billion, one hundred one million, ninety-nine thousand, nine hundred ninety-three".