101020001 has 8 divisors (see below), whose sum is σ = 107945640. Its totient is φ = 94203648.

The previous prime is 101019959. The next prime is 101020009. The reversal of 101020001 is 100020101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 60824401 + 40195600 = 7799^2 + 6340^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101020001 - 2¹⁸ = 100757857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101020009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25406 + ... + 29111.

It is an arithmetic number, because the mean of its divisors is an integer number (13493205).

Almost surely, 2^101020001 is an apocalyptic number.

It is an amenable number.

101020001 is a deficient number, since it is larger than the sum of its proper divisors (6925639).

101020001 is a wasteful number, since it uses less digits than its factorization.

101020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54643.

The product of its (nonzero) digits is 2, while the sum is 5.

The square root of 101020001 is about 10050.8706588036. The cubic root of 101020001 is about 465.7316896251.

Adding to 101020001 its reverse (100020101), we get a palindrome (201040102).

The spelling of 101020001 in words is "one hundred one million, twenty thousand, one".