1002112101037 has 2 divisors, whose sum is σ = 1002112101038. Its totient is φ = 1002112101036.

The previous prime is 1002112101031. The next prime is 1002112101113. The reversal of 1002112101037 is 7301012112001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 749252972836 + 252859128201 = 865594^2 + 502851^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002112101037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002112101031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501056050518 + 501056050519.

It is an arithmetic number, because the mean of its divisors is an integer number (501056050519).

Almost surely, 2^{1002112101037} is an apocalyptic number.

It is an amenable number.

1002112101037 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002112101037 is an equidigital number, since it uses as much as digits as its factorization.

1002112101037 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 19.

Adding to 1002112101037 its reverse (7301012112001), we get a palindrome (8303124213038).

The spelling of 1002112101037 in words is "one trillion, two billion, one hundred twelve million, one hundred one thousand, thirty-seven".