100161001 has 2 divisors, whose sum is σ = 100161002. Its totient is φ = 100161000.

The previous prime is 100160999. The next prime is 100161023.

100161001 is nontrivially palindromic in base 10.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94109401 + 6051600 = 9701^2 + 2460^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 100161001 - 2¹ = 100160999 is a prime.

It is a super-2 number, since 2×100161001² = 20064452242644002, which contains 22 as substring.

Together with 100160999, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100161071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50080500 + 50080501.

It is an arithmetic number, because the mean of its divisors is an integer number (50080501).

Almost surely, 2^100161001 is an apocalyptic number.

It is an amenable number.

100161001 is a deficient number, since it is larger than the sum of its proper divisors (1).

100161001 is an equidigital number, since it uses as much as digits as its factorization.

100161001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 100161001 is about 10008.0468124405. The cubic root of 100161001 is about 464.4078499441.

The spelling of 100161001 in words is "one hundred million, one hundred sixty-one thousand, one".