10212211000801 has 2 divisors, whose sum is σ = 10212211000802. Its totient is φ = 10212211000800.

The previous prime is 10212211000787. The next prime is 10212211000867. The reversal of 10212211000801 is 10800011221201.

10212211000801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7624230962401 + 2587980038400 = 2761201^2 + 1608720^2 .

It is a cyclic number.

It is not a de Polignac number, because 10212211000801 - 2²³ = 10212202612193 is a prime.

It is not a weakly prime, because it can be changed into another prime (10212211090801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106105500400 + 5106105500401.

It is an arithmetic number, because the mean of its divisors is an integer number (5106105500401).

Almost surely, 2^{10212211000801} is an apocalyptic number.

It is an amenable number.

10212211000801 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212211000801 is an equidigital number, since it uses as much as digits as its factorization.

10212211000801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 19.

The spelling of 10212211000801 in words is "ten trillion, two hundred twelve billion, two hundred eleven million, eight hundred one", and thus it is an aban number.