2101112002037 has 2 divisors, whose sum is σ = 2101112002038. Its totient is φ = 2101112002036.

The previous prime is 2101112001977. The next prime is 2101112002039. The reversal of 2101112002037 is 7302002111012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1767479845156 + 333632156881 = 1329466^2 + 577609^2 .

It is a cyclic number.

It is not a de Polignac number, because 2101112002037 - 2¹⁶ = 2101111936501 is a prime.

Together with 2101112002039, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2101112002039) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050556001018 + 1050556001019.

It is an arithmetic number, because the mean of its divisors is an integer number (1050556001019).

Almost surely, 2^{2101112002037} is an apocalyptic number.

It is an amenable number.

2101112002037 is a deficient number, since it is larger than the sum of its proper divisors (1).

2101112002037 is an equidigital number, since it uses as much as digits as its factorization.

2101112002037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 2101112002037 its reverse (7302002111012), we get a palindrome (9403114113049).

The spelling of 2101112002037 in words is "two trillion, one hundred one billion, one hundred twelve million, two thousand, thirty-seven".