101100000101801 has 2 divisors, whose sum is σ = 101100000101802. Its totient is φ = 101100000101800.

The previous prime is 101100000101783. The next prime is 101100000101873. The reversal of 101100000101801 is 108101000001101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83668999349776 + 17431000752025 = 9147076^2 + 4175045^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101100000101801 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101100000121801) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50550000050900 + 50550000050901.

It is an arithmetic number, because the mean of its divisors is an integer number (50550000050901).

Almost surely, 2^{101100000101801} is an apocalyptic number.

It is an amenable number.

101100000101801 is a deficient number, since it is larger than the sum of its proper divisors (1).

101100000101801 is an equidigital number, since it uses as much as digits as its factorization.

101100000101801 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 14.

Adding to 101100000101801 its reverse (108101000001101), we get a palindrome (209201000102902).

The spelling of 101100000101801 in words is "one hundred one trillion, one hundred billion, one hundred one thousand, eight hundred one".