100020201111101 has 2 divisors, whose sum is σ = 100020201111102. Its totient is φ = 100020201111100.

The previous prime is 100020201111097. The next prime is 100020201111119. The reversal of 100020201111101 is 101111102020001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97338054660025 + 2682146451076 = 9866005^2 + 1637726^2 .

It is a cyclic number.

It is not a de Polignac number, because 100020201111101 - 2² = 100020201111097 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100020201111601) 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 as a sum of consecutive naturals, namely, 50010100555550 + 50010100555551.

It is an arithmetic number, because the mean of its divisors is an integer number (50010100555551).

Almost surely, 2^{100020201111101} is an apocalyptic number.

It is an amenable number.

100020201111101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100020201111101 is an equidigital number, since it uses as much as digits as its factorization.

100020201111101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100020201111101 its reverse (101111102020001), we get a palindrome (201131303131102).

The spelling of 100020201111101 in words is "one hundred trillion, twenty billion, two hundred one million, one hundred eleven thousand, one hundred one".