1010001212081 has 2 divisors, whose sum is σ = 1010001212082. Its totient is φ = 1010001212080.

The previous prime is 1010001212053. The next prime is 1010001212107. The reversal of 1010001212081 is 1802121000101.

1010001212081 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 867841296400 + 142159915681 = 931580^2 + 377041^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010001212081 is a prime.

It is a super-2 number, since 2×1010001212081² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1010001212021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505000606040 + 505000606041.

It is an arithmetic number, because the mean of its divisors is an integer number (505000606041).

Almost surely, 2^{1010001212081} is an apocalyptic number.

It is an amenable number.

1010001212081 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010001212081 is an equidigital number, since it uses as much as digits as its factorization.

1010001212081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 1010001212081 its reverse (1802121000101), we get a palindrome (2812122212182).

The spelling of 1010001212081 in words is "one trillion, ten billion, one million, two hundred twelve thousand, eighty-one".