100102111201 has 2 divisors, whose sum is σ = 100102111202. Its totient is φ = 100102111200.

The previous prime is 100102111163. The next prime is 100102111223. The reversal of 100102111201 is 102111201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90962560000 + 9139551201 = 301600^2 + 95601^2 .

It is an emirp because it is prime and its reverse (102111201001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100102111201 - 2¹¹ = 100102109153 is a prime.

It is not a weakly prime, because it can be changed into another prime (100102114201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051055600 + 50051055601.

It is an arithmetic number, because the mean of its divisors is an integer number (50051055601).

Almost surely, 2^100102111201 is an apocalyptic number.

It is an amenable number.

100102111201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102111201 is an equidigital number, since it uses as much as digits as its factorization.

100102111201 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 10.

Adding to 100102111201 its reverse (102111201001), we get a palindrome (202213312202).

The spelling of 100102111201 in words is "one hundred billion, one hundred two million, one hundred eleven thousand, two hundred one".