1102001010001 has 2 divisors, whose sum is σ = 1102001010002. Its totient is φ = 1102001010000.

The previous prime is 1102001009969. The next prime is 1102001010029. The reversal of 1102001010001 is 1000101002011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1068998837776 + 33002172225 = 1033924^2 + 181665^2 .

It is a cyclic number.

It is not a de Polignac number, because 1102001010001 - 2⁵ = 1102001009969 is a prime.

It is not a weakly prime, because it can be changed into another prime (1102001010101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 551000505000 + 551000505001.

It is an arithmetic number, because the mean of its divisors is an integer number (551000505001).

Almost surely, 2^{1102001010001} is an apocalyptic number.

It is an amenable number.

1102001010001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1102001010001 is an equidigital number, since it uses as much as digits as its factorization.

1102001010001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1102001010001 its reverse (1000101002011), we get a palindrome (2102102012012).

The spelling of 1102001010001 in words is "one trillion, one hundred two billion, one million, ten thousand, one".