1011000009937 has 2 divisors, whose sum is σ = 1011000009938. Its totient is φ = 1011000009936.

The previous prime is 1011000009893. The next prime is 1011000009947. The reversal of 1011000009937 is 7399000001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 881600812096 + 129399197841 = 938936^2 + 359721^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011000009937 - 2¹⁹ = 1010999485649 is a prime.

It is a super-2 number, since 2×1011000009937² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1011000009899 and 1011000009908.

It is not a weakly prime, because it can be changed into another prime (1011000009947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505500004968 + 505500004969.

It is an arithmetic number, because the mean of its divisors is an integer number (505500004969).

Almost surely, 2^{1011000009937} is an apocalyptic number.

It is an amenable number.

1011000009937 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011000009937 is an equidigital number, since it uses as much as digits as its factorization.

1011000009937 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 1011000009937 in words is "one trillion, eleven billion, nine thousand, nine hundred thirty-seven".