1010221212137 has 2 divisors, whose sum is σ = 1010221212138. Its totient is φ = 1010221212136.

The previous prime is 1010221212107. The next prime is 1010221212197. The reversal of 1010221212137 is 7312121220101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1000218011881 + 10003200256 = 1000109^2 + 100016^2 .

It is a cyclic number.

It is not a de Polignac number, because 1010221212137 - 2³⁰ = 1009147470313 is a prime.

It is a super-2 number, since 2×1010221212137² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1010221212107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505110606068 + 505110606069.

It is an arithmetic number, because the mean of its divisors is an integer number (505110606069).

Almost surely, 2^{1010221212137} is an apocalyptic number.

It is an amenable number.

1010221212137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010221212137 is an equidigital number, since it uses as much as digits as its factorization.

1010221212137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

Adding to 1010221212137 its reverse (7312121220101), we get a palindrome (8322342432238).

The spelling of 1010221212137 in words is "one trillion, ten billion, two hundred twenty-one million, two hundred twelve thousand, one hundred thirty-seven".