102100101213001 has 2 divisors, whose sum is σ = 102100101213002. Its totient is φ = 102100101213000.

The previous prime is 102100101212983. The next prime is 102100101213017. The reversal of 102100101213001 is 100312101001201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89952401736976 + 12147699476025 = 9484324^2 + 3485355^2 .

It is a cyclic number.

It is not a de Polignac number, because 102100101213001 - 2³¹ = 102097953729353 is a prime.

It is not a weakly prime, because it can be changed into another prime (102100101213401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51050050606500 + 51050050606501.

It is an arithmetic number, because the mean of its divisors is an integer number (51050050606501).

Almost surely, 2^{102100101213001} is an apocalyptic number.

It is an amenable number.

102100101213001 is a deficient number, since it is larger than the sum of its proper divisors (1).

102100101213001 is an equidigital number, since it uses as much as digits as its factorization.

102100101213001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102100101213001 its reverse (100312101001201), we get a palindrome (202412202214202).

The spelling of 102100101213001 in words is "one hundred two trillion, one hundred billion, one hundred one million, two hundred thirteen thousand, one".