1001101100873 has 2 divisors, whose sum is σ = 1001101100874. Its totient is φ = 1001101100872.

The previous prime is 1001101100843. The next prime is 1001101100891. The reversal of 1001101100873 is 3780011011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1001094299209 + 6801664 = 1000547^2 + 2608^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001101100873 - 2⁶ = 1001101100809 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001101100843) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550550436 + 500550550437.

It is an arithmetic number, because the mean of its divisors is an integer number (500550550437).

Almost surely, 2^{1001101100873} is an apocalyptic number.

It is an amenable number.

1001101100873 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001101100873 is an equidigital number, since it uses as much as digits as its factorization.

1001101100873 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 168, while the sum is 23.

Adding to 1001101100873 its reverse (3780011011001), we get a palindrome (4781112111874).

The spelling of 1001101100873 in words is "one trillion, one billion, one hundred one million, one hundred thousand, eight hundred seventy-three".