101055006001 has 2 divisors, whose sum is σ = 101055006002. Its totient is φ = 101055006000.

The previous prime is 101055005969. The next prime is 101055006007. The reversal of 101055006001 is 100600550101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75479320225 + 25575685776 = 274735^2 + 159924^2 .

It is an emirp because it is prime and its reverse (100600550101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101055006001 - 2⁵ = 101055005969 is a prime.

It is a super-2 number, since 2×101055006001² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101055006001.

It is not a weakly prime, because it can be changed into another prime (101055006007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50527503000 + 50527503001.

It is an arithmetic number, because the mean of its divisors is an integer number (50527503001).

Almost surely, 2^101055006001 is an apocalyptic number.

It is an amenable number.

101055006001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101055006001 is an equidigital number, since it uses as much as digits as its factorization.

101055006001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 19.

Adding to 101055006001 its reverse (100600550101), we get a palindrome (201655556102).

The spelling of 101055006001 in words is "one hundred one billion, fifty-five million, six thousand, one".