1021020021137 has 2 divisors, whose sum is σ = 1021020021138. Its totient is φ = 1021020021136.

The previous prime is 1021020021107. The next prime is 1021020021149. The reversal of 1021020021137 is 7311200201201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 543406339921 + 477613681216 = 737161^2 + 691096^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021020021137 - 2¹⁰ = 1021020020113 is a prime.

It is not a weakly prime, because it can be changed into another prime (1021020021107) 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, 510510010568 + 510510010569.

It is an arithmetic number, because the mean of its divisors is an integer number (510510010569).

Almost surely, 2^{1021020021137} is an apocalyptic number.

It is an amenable number.

1021020021137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021020021137 is an equidigital number, since it uses as much as digits as its factorization.

1021020021137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

Adding to 1021020021137 its reverse (7311200201201), we get a palindrome (8332220222338).

The spelling of 1021020021137 in words is "one trillion, twenty-one billion, twenty million, twenty-one thousand, one hundred thirty-seven".