1011002021137 has 2 divisors, whose sum is σ = 1011002021138. Its totient is φ = 1011002021136.

The previous prime is 1011002021131. The next prime is 1011002021207. The reversal of 1011002021137 is 7311202001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 799037544321 + 211964476816 = 893889^2 + 460396^2 .

It is an emirp because it is prime and its reverse (7311202001101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011002021137 - 2⁷ = 1011002021009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011002021131) 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, 505501010568 + 505501010569.

It is an arithmetic number, because the mean of its divisors is an integer number (505501010569).

Almost surely, 2^{1011002021137} is an apocalyptic number.

It is an amenable number.

1011002021137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011002021137 is an equidigital number, since it uses as much as digits as its factorization.

1011002021137 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 1011002021137 its reverse (7311202001101), we get a palindrome (8322204022238).

The spelling of 1011002021137 in words is "one trillion, eleven billion, two million, twenty-one thousand, one hundred thirty-seven".