2012201100101 has 2 divisors, whose sum is σ = 2012201100102. Its totient is φ = 2012201100100.

The previous prime is 2012201100089. The next prime is 2012201100199. The reversal of 2012201100101 is 1010011022102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1992699256900 + 19501843201 = 1411630^2 + 139649^2 .

It is a cyclic number.

It is not a de Polignac number, because 2012201100101 - 2⁶ = 2012201100037 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2012201100601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1006100550050 + 1006100550051.

It is an arithmetic number, because the mean of its divisors is an integer number (1006100550051).

Almost surely, 2^{2012201100101} is an apocalyptic number.

It is an amenable number.

2012201100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2012201100101 is an equidigital number, since it uses as much as digits as its factorization.

2012201100101 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 11.

Adding to 2012201100101 its reverse (1010011022102), we get a palindrome (3022212122203).

The spelling of 2012201100101 in words is "two trillion, twelve billion, two hundred one million, one hundred thousand, one hundred one".