100200201021101 has 2 divisors, whose sum is σ = 100200201021102. Its totient is φ = 100200201021100.

The previous prime is 100200201021029. The next prime is 100200201021169. The reversal of 100200201021101 is 101120102002001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68761808091076 + 31438392930025 = 8292274^2 + 5606995^2 .

It is an emirp because it is prime and its reverse (101120102002001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100200201021101 - 2¹⁰ = 100200201020077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100200201023101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50100100510550 + 50100100510551.

It is an arithmetic number, because the mean of its divisors is an integer number (50100100510551).

Almost surely, 2^{100200201021101} is an apocalyptic number.

It is an amenable number.

100200201021101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100200201021101 is an equidigital number, since it uses as much as digits as its factorization.

100200201021101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100200201021101 its reverse (101120102002001), we get a palindrome (201320303023102).

The spelling of 100200201021101 in words is "one hundred trillion, two hundred billion, two hundred one million, twenty-one thousand, one hundred one".