1012211012401 has 2 divisors, whose sum is σ = 1012211012402. Its totient is φ = 1012211012400.

The previous prime is 1012211012357. The next prime is 1012211012431. The reversal of 1012211012401 is 1042101122101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1002201210000 + 10009802401 = 1001100^2 + 100049^2 .

It is a cyclic number.

It is not a de Polignac number, because 1012211012401 - 2¹⁷ = 1012210881329 is a prime.

It is a super-3 number, since 3×1012211012401³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1012211012431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506105506200 + 506105506201.

It is an arithmetic number, because the mean of its divisors is an integer number (506105506201).

Almost surely, 2^{1012211012401} is an apocalyptic number.

It is an amenable number.

1012211012401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012211012401 is an equidigital number, since it uses as much as digits as its factorization.

1012211012401 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 16.

Adding to 1012211012401 its reverse (1042101122101), we get a palindrome (2054312134502).

The spelling of 1012211012401 in words is "one trillion, twelve billion, two hundred eleven million, twelve thousand, four hundred one".