100102100303201 has 2 divisors, whose sum is σ = 100102100303202. Its totient is φ = 100102100303200.

The previous prime is 100102100303189. The next prime is 100102100303221. The reversal of 100102100303201 is 102303001201001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92587791285025 + 7514309018176 = 9622255^2 + 2741224^2 .

It is an emirp because it is prime and its reverse (102303001201001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100102100303201 - 2²⁶ = 100102033194337 is a prime.

It is a super-2 number, since 2×100102100303201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100102100303221) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051050151600 + 50051050151601.

It is an arithmetic number, because the mean of its divisors is an integer number (50051050151601).

Almost surely, 2^{100102100303201} is an apocalyptic number.

It is an amenable number.

100102100303201 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102100303201 is an equidigital number, since it uses as much as digits as its factorization.

100102100303201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100102100303201 its reverse (102303001201001), we get a palindrome (202405101504202).

The spelling of 100102100303201 in words is "one hundred trillion, one hundred two billion, one hundred million, three hundred three thousand, two hundred one".