101212020000137 has 2 divisors, whose sum is σ = 101212020000138. Its totient is φ = 101212020000136.

The previous prime is 101212020000079. The next prime is 101212020000233. The reversal of 101212020000137 is 731000020212101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58874146356601 + 42337873643536 = 7672949^2 + 6506756^2 .

It is a cyclic number.

It is not a de Polignac number, because 101212020000137 - 2¹⁸ = 101212019737993 is a prime.

It is not a weakly prime, because it can be changed into another prime (101212020000437) 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, 50606010000068 + 50606010000069.

It is an arithmetic number, because the mean of its divisors is an integer number (50606010000069).

Almost surely, 2^{101212020000137} is an apocalyptic number.

It is an amenable number.

101212020000137 is a deficient number, since it is larger than the sum of its proper divisors (1).

101212020000137 is an equidigital number, since it uses as much as digits as its factorization.

101212020000137 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 101212020000137 its reverse (731000020212101), we get a palindrome (832212040212238).

The spelling of 101212020000137 in words is "one hundred one trillion, two hundred twelve billion, twenty million, one hundred thirty-seven", and thus it is an aban number.