100102021206101 has 2 divisors, whose sum is σ = 100102021206102. Its totient is φ = 100102021206100.

The previous prime is 100102021206001. The next prime is 100102021206137. The reversal of 100102021206101 is 101602120201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77544755402500 + 22557265803601 = 8805950^2 + 4749449^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102021206101 - 2⁴² = 95703974694997 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100102021206101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102021206001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051010603050 + 50051010603051.

It is an arithmetic number, because the mean of its divisors is an integer number (50051010603051).

Almost surely, 2^{100102021206101} is an apocalyptic number.

It is an amenable number.

100102021206101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102021206101 is an equidigital number, since it uses as much as digits as its factorization.

100102021206101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100102021206101 its reverse (101602120201001), we get a palindrome (201704141407102).

The spelling of 100102021206101 in words is "one hundred trillion, one hundred two billion, twenty-one million, two hundred six thousand, one hundred one".