10010001009937 has 2 divisors, whose sum is σ = 10010001009938. Its totient is φ = 10010001009936.

The previous prime is 10010001009929. The next prime is 10010001009973. The reversal of 10010001009937 is 73990010001001.

Together with next prime (10010001009973) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8194072275841 + 1815928734096 = 2862529^2 + 1347564^2 .

It is a cyclic number.

It is not a de Polignac number, because 10010001009937 - 2³ = 10010001009929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10010001009899 and 10010001009908.

It is not a weakly prime, because it can be changed into another prime (10010001009137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005000504968 + 5005000504969.

It is an arithmetic number, because the mean of its divisors is an integer number (5005000504969).

Almost surely, 2^{10010001009937} is an apocalyptic number.

It is an amenable number.

10010001009937 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010001009937 is an equidigital number, since it uses as much as digits as its factorization.

10010001009937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1701, while the sum is 31.

The spelling of 10010001009937 in words is "ten trillion, ten billion, one million, nine thousand, nine hundred thirty-seven".