10020002111137 has 2 divisors, whose sum is σ = 10020002111138. Its totient is φ = 10020002111136.

The previous prime is 10020002111107. The next prime is 10020002111149. The reversal of 10020002111137 is 73111120002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6553390081681 + 3466612029456 = 2559959^2 + 1861884^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020002111137 - 2³¹ = 10017854627489 is a prime.

It is not a weakly prime, because it can be changed into another prime (10020002111107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010001055568 + 5010001055569.

It is an arithmetic number, because the mean of its divisors is an integer number (5010001055569).

Almost surely, 2^{10020002111137} is an apocalyptic number.

It is an amenable number.

10020002111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020002111137 is an equidigital number, since it uses as much as digits as its factorization.

10020002111137 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 10020002111137 its reverse (73111120002001), we get a palindrome (83131122113138).

The spelling of 10020002111137 in words is "ten trillion, twenty billion, two million, one hundred eleven thousand, one hundred thirty-seven".