10020001112201 has 2 divisors, whose sum is σ = 10020001112202. Its totient is φ = 10020001112200.

The previous prime is 10020001112183. The next prime is 10020001112203. The reversal of 10020001112201 is 10221110002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9758757457801 + 261243654400 = 3123901^2 + 511120^2 .

It is a cyclic number.

It is not a de Polignac number, because 10020001112201 - 2¹⁴ = 10020001095817 is a prime.

Together with 10020001112203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10020001112203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010000556100 + 5010000556101.

It is an arithmetic number, because the mean of its divisors is an integer number (5010000556101).

Almost surely, 2^{10020001112201} is an apocalyptic number.

It is an amenable number.

10020001112201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020001112201 is an equidigital number, since it uses as much as digits as its factorization.

10020001112201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10020001112201 its reverse (10221110002001), we get a palindrome (20241111114202).

The spelling of 10020001112201 in words is "ten trillion, twenty billion, one million, one hundred twelve thousand, two hundred one".