1001002111001 has 2 divisors, whose sum is σ = 1001002111002. Its totient is φ = 1001002111000.

The previous prime is 1001002110961. The next prime is 1001002111007. The reversal of 1001002111001 is 1001112001001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 998970265225 + 2031845776 = 999485^2 + 45076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001002111001 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1001002111001.

It is not a weakly prime, because it can be changed into another prime (1001002111007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500501055500 + 500501055501.

It is an arithmetic number, because the mean of its divisors is an integer number (500501055501).

Almost surely, 2^{1001002111001} is an apocalyptic number.

It is an amenable number.

1001002111001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001002111001 is an equidigital number, since it uses as much as digits as its factorization.

1001002111001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1001002111001 its reverse (1001112001001), we get a palindrome (2002114112002).

The spelling of 1001002111001 in words is "one trillion, one billion, two million, one hundred eleven thousand, one".