200000101001101 has 2 divisors, whose sum is σ = 200000101001102. Its totient is φ = 200000101001100.

The previous prime is 200000101001011. The next prime is 200000101001147. The reversal of 200000101001101 is 101100101000002.

Together with previous prime (200000101001011) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148072367913001 + 51927733088100 = 12168499^2 + 7206090^2 .

It is a cyclic number.

It is not a de Polignac number, because 200000101001101 - 2¹¹ = 200000100999053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (200000101008101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100000050500550 + 100000050500551.

It is an arithmetic number, because the mean of its divisors is an integer number (100000050500551).

Almost surely, 2^{200000101001101} is an apocalyptic number.

It is an amenable number.

200000101001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

200000101001101 is an equidigital number, since it uses as much as digits as its factorization.

200000101001101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 200000101001101 its reverse (101100101000002), we get a palindrome (301100202001103).

The spelling of 200000101001101 in words is "two hundred trillion, one hundred one million, one thousand, one hundred one".