100106061001 has 2 divisors, whose sum is σ = 100106061002. Its totient is φ = 100106061000.

The previous prime is 100106060983. The next prime is 100106061017. The reversal of 100106061001 is 100160601001.

It is an a-pointer prime, because the next prime (100106061017) can be obtained adding 100106061001 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97868865600 + 2237195401 = 312840^2 + 47299^2 .

It is a cyclic number.

It is not a de Polignac number, because 100106061001 - 2¹⁷ = 100105929929 is a prime.

It is not a weakly prime, because it can be changed into another prime (100106061101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50053030500 + 50053030501.

It is an arithmetic number, because the mean of its divisors is an integer number (50053030501).

Almost surely, 2^100106061001 is an apocalyptic number.

It is an amenable number.

100106061001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100106061001 is an equidigital number, since it uses as much as digits as its factorization.

100106061001 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 16.

Adding to 100106061001 its reverse (100160601001), we get a palindrome (200266662002).

The spelling of 100106061001 in words is "one hundred billion, one hundred six million, sixty-one thousand, one".