10212201102001 has 2 divisors, whose sum is σ = 10212201102002. Its totient is φ = 10212201102000.

The previous prime is 10212201101957. The next prime is 10212201102029. The reversal of 10212201102001 is 10020110221201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9826193624976 + 386007477025 = 3134676^2 + 621295^2 .

It is an emirp because it is prime and its reverse (10020110221201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10212201102001 - 2²⁹ = 10211664231089 is a prime.

It is not a weakly prime, because it can be changed into another prime (10212201102091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5106100551000 + 5106100551001.

It is an arithmetic number, because the mean of its divisors is an integer number (5106100551001).

Almost surely, 2^{10212201102001} is an apocalyptic number.

It is an amenable number.

10212201102001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10212201102001 is an equidigital number, since it uses as much as digits as its factorization.

10212201102001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10212201102001 its reverse (10020110221201), we get a palindrome (20232311323202).

The spelling of 10212201102001 in words is "ten trillion, two hundred twelve billion, two hundred one million, one hundred two thousand, one".