2100100002037 has 2 divisors, whose sum is σ = 2100100002038. Its totient is φ = 2100100002036.

The previous prime is 2100100002001. The next prime is 2100100002041. The reversal of 2100100002037 is 7302000010012.

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., 1445539717636 + 654560284401 = 1202306^2 + 809049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100100002037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2100100002037.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100100002047) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050050001018 + 1050050001019.

It is an arithmetic number, because the mean of its divisors is an integer number (1050050001019).

Almost surely, 2^{2100100002037} is an apocalyptic number.

It is an amenable number.

2100100002037 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100100002037 is an equidigital number, since it uses as much as digits as its factorization.

2100100002037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 16.

Adding to 2100100002037 its reverse (7302000010012), we get a palindrome (9402100012049).

The spelling of 2100100002037 in words is "two trillion, one hundred billion, one hundred million, two thousand, thirty-seven".