1010001102001 has 4 divisors (see below), whose sum is σ = 1010009299572. Its totient is φ = 1009992904432.

The previous prime is 1010001101983. The next prime is 1010001102043. The reversal of 1010001102001 is 1002011000101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 799994291776 + 210006810225 = 894424^2 + 458265^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010001102001 - 2⁵ = 1010001101969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1010001100001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3911110 + ... + 4161343.

It is an arithmetic number, because the mean of its divisors is an integer number (252502324893).

Almost surely, 2^{1010001102001} is an apocalyptic number.

It is an amenable number.

1010001102001 is a deficient number, since it is larger than the sum of its proper divisors (8197571).

1010001102001 is an equidigital number, since it uses as much as digits as its factorization.

1010001102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8197570.

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

Adding to 1010001102001 its reverse (1002011000101), we get a palindrome (2012012102102).

The spelling of 1010001102001 in words is "one trillion, ten billion, one million, one hundred two thousand, one".