1001100202001 has 2 divisors, whose sum is σ = 1001100202002. Its totient is φ = 1001100202000.

The previous prime is 1001100201991. The next prime is 1001100202019. The reversal of 1001100202001 is 1002020011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 731967513601 + 269132688400 = 855551^2 + 518780^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001100202001 - 2³⁴ = 983920332817 is a prime.

It is a super-2 number, since 2×1001100202001² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001100202001.

It is not a weakly prime, because it can be changed into another prime (1001109202001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500550101000 + 500550101001.

It is an arithmetic number, because the mean of its divisors is an integer number (500550101001).

Almost surely, 2^{1001100202001} is an apocalyptic number.

It is an amenable number.

1001100202001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001100202001 is an equidigital number, since it uses as much as digits as its factorization.

1001100202001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001100202001 its reverse (1002020011001), we get a palindrome (2003120213002).

It can be divided in two parts, 1001 and 100202001, that multiplied together give a palindrome (100302203001).

The spelling of 1001100202001 in words is "one trillion, one billion, one hundred million, two hundred two thousand, one".