10102000020037 has 2 divisors, whose sum is σ = 10102000020038. Its totient is φ = 10102000020036.

The previous prime is 10102000019999. The next prime is 10102000020061. The reversal of 10102000020037 is 73002000020101.

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., 9070132095556 + 1031867924481 = 3011666^2 + 1015809^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102000020037 - 2²³ = 10101991631429 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10102000020037.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10102000024037) 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, 5051000010018 + 5051000010019.

It is an arithmetic number, because the mean of its divisors is an integer number (5051000010019).

Almost surely, 2^{10102000020037} is an apocalyptic number.

It is an amenable number.

10102000020037 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102000020037 is an equidigital number, since it uses as much as digits as its factorization.

10102000020037 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 10102000020037 its reverse (73002000020101), we get a palindrome (83104000040138).

The spelling of 10102000020037 in words is "ten trillion, one hundred two billion, twenty thousand, thirty-seven".