101000200220011 has 16 divisors (see below), whose sum is σ = 103218619392000. Its totient is φ = 98784694749888.

The previous prime is 101000200219987. The next prime is 101000200220021. The reversal of 101000200220011 is 110022002000101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000200220011 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101000200220011.

It is not an unprimeable number, because it can be changed into a prime (101000200220021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 513785206 + ... + 513981748.

It is an arithmetic number, because the mean of its divisors is an integer number (6451163712000).

Almost surely, 2^{101000200220011} is an apocalyptic number.

101000200220011 is a deficient number, since it is larger than the sum of its proper divisors (2218419171989).

101000200220011 is a wasteful number, since it uses less digits than its factorization.

101000200220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203898.

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

Adding to 101000200220011 its reverse (110022002000101), we get a palindrome (211022202220112).

The spelling of 101000200220011 in words is "one hundred one trillion, two hundred million, two hundred twenty thousand, eleven".