100102012001 has 2 divisors, whose sum is σ = 100102012002. Its totient is φ = 100102012000.

The previous prime is 100102011953. The next prime is 100102012009. The reversal of 100102012001 is 100210201001.

It is an a-pointer prime, because the next prime (100102012009) can be obtained adding 100102012001 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91552235776 + 8549776225 = 302576^2 + 92465^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100102012001 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 100102012001.

It is not a weakly prime, because it can be changed into another prime (100102012009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051006000 + 50051006001.

It is an arithmetic number, because the mean of its divisors is an integer number (50051006001).

Almost surely, 2^100102012001 is an apocalyptic number.

It is an amenable number.

100102012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102012001 is an equidigital number, since it uses as much as digits as its factorization.

100102012001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100102012001 its reverse (100210201001), we get a palindrome (200312213002).

The spelling of 100102012001 in words is "one hundred billion, one hundred two million, twelve thousand, one".