2001012100201 has 2 divisors, whose sum is σ = 2001012100202. Its totient is φ = 2001012100200.

The previous prime is 2001012100127. The next prime is 2001012100229. The reversal of 2001012100201 is 1020012101002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2000383093801 + 629006400 = 1414349^2 + 25080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2001012100201 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001012140201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000506050100 + 1000506050101.

It is an arithmetic number, because the mean of its divisors is an integer number (1000506050101).

Almost surely, 2^{2001012100201} is an apocalyptic number.

It is an amenable number.

2001012100201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001012100201 is an equidigital number, since it uses as much as digits as its factorization.

2001012100201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2001012100201 its reverse (1020012101002), we get a palindrome (3021024201203).

The spelling of 2001012100201 in words is "two trillion, one billion, twelve million, one hundred thousand, two hundred one".