101055001 has 2 divisors, whose sum is σ = 101055002. Its totient is φ = 101055000.

The previous prime is 101054999. The next prime is 101055007. The reversal of 101055001 is 100550101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101022601 + 32400 = 10051^2 + 180^2 .

It is a cyclic number.

It is not a de Polignac number, because 101055001 - 2¹ = 101054999 is a prime.

It is a super-2 number, since 2×101055001² = 20424226454220002, which contains 22 as substring.

Together with 101054999, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101055007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50527500 + 50527501.

It is an arithmetic number, because the mean of its divisors is an integer number (50527501).

Almost surely, 2^101055001 is an apocalyptic number.

It is an amenable number.

101055001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101055001 is an equidigital number, since it uses as much as digits as its factorization.

101055001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25, while the sum is 13.

The square root of 101055001 is about 10052.6116507105. The cubic root of 101055001 is about 465.7854701530.

The spelling of 101055001 in words is "one hundred one million, fifty-five thousand, one".