1021125137 has 2 divisors, whose sum is σ = 1021125138. Its totient is φ = 1021125136.

The previous prime is 1021125121. The next prime is 1021125139. The reversal of 1021125137 is 7315211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 924220801 + 96904336 = 30401^2 + 9844^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021125137 - 2⁴ = 1021125121 is a prime.

Together with 1021125139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1021125139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510562568 + 510562569.

It is an arithmetic number, because the mean of its divisors is an integer number (510562569).

Almost surely, 2^1021125137 is an apocalyptic number.

It is an amenable number.

1021125137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021125137 is an equidigital number, since it uses as much as digits as its factorization.

1021125137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 1021125137 is about 31955.0486934381. The cubic root of 1021125137 is about 1006.9927004971.

Adding to 1021125137 its reverse (7315211201), we get a palindrome (8336336338).

The spelling of 1021125137 in words is "one billion, twenty-one million, one hundred twenty-five thousand, one hundred thirty-seven".