1010010009937 has 2 divisors, whose sum is σ = 1010010009938. Its totient is φ = 1010010009936.

The previous prime is 1010010009929. The next prime is 1010010010003. The reversal of 1010010009937 is 7399000100101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 928291783441 + 81718226496 = 963479^2 + 285864^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010010009937 - 2³ = 1010010009929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1010010009899 and 1010010009908.

It is not a weakly prime, because it can be changed into another prime (1010010006937) 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, 505005004968 + 505005004969.

It is an arithmetic number, because the mean of its divisors is an integer number (505005004969).

Almost surely, 2^{1010010009937} is an apocalyptic number.

It is an amenable number.

1010010009937 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010010009937 is an equidigital number, since it uses as much as digits as its factorization.

1010010009937 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 1010010009937 in words is "one trillion, ten billion, ten million, nine thousand, nine hundred thirty-seven".