100506006001 has 2 divisors, whose sum is σ = 100506006002. Its totient is φ = 100506006000.

The previous prime is 100506005909. The next prime is 100506006053. The reversal of 100506006001 is 100600605001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100488366001 + 17640000 = 316999^2 + 4200^2 .

It is a cyclic number.

It is not a de Polignac number, because 100506006001 - 2⁹ = 100506005489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100506006001.

It is not a weakly prime, because it can be changed into another prime (100506406001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50253003000 + 50253003001.

It is an arithmetic number, because the mean of its divisors is an integer number (50253003001).

Almost surely, 2^100506006001 is an apocalyptic number.

It is an amenable number.

100506006001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100506006001 is an equidigital number, since it uses as much as digits as its factorization.

100506006001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 19.

The spelling of 100506006001 in words is "one hundred billion, five hundred six million, six thousand, one".