100100102210201 has 2 divisors, whose sum is σ = 100100102210202. Its totient is φ = 100100102210200.

The previous prime is 100100102210179. The next prime is 100100102210219. The reversal of 100100102210201 is 102012201001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50116828296976 + 49983273913225 = 7079324^2 + 7069885^2 .

It is a cyclic number.

It is not a de Polignac number, because 100100102210201 - 2³⁰ = 100099028468377 is a prime.

It is not a weakly prime, because it can be changed into another prime (100100102210401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050051105100 + 50050051105101.

It is an arithmetic number, because the mean of its divisors is an integer number (50050051105101).

Almost surely, 2^{100100102210201} is an apocalyptic number.

It is an amenable number.

100100102210201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100100102210201 is an equidigital number, since it uses as much as digits as its factorization.

100100102210201 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 100100102210201 its reverse (102012201001001), we get a palindrome (202112303211202).

The spelling of 100100102210201 in words is "one hundred trillion, one hundred billion, one hundred two million, two hundred ten thousand, two hundred one".