101231001 has 12 divisors (see below), whose sum is σ = 150175012. Its totient is φ = 65663136.

The previous prime is 101230999. The next prime is 101231021. The reversal of 101231001 is 100132101.

It can be written as a sum of positive squares in 2 ways, for example, as 71419401 + 29811600 = 8451^2 + 5460^2 .

It is not a de Polignac number, because 101231001 - 2¹ = 101230999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101231021) 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 11 ways as a sum of consecutive naturals, for example, 151666 + ... + 152331.

Almost surely, 2^101231001 is an apocalyptic number.

It is an amenable number.

101231001 is a deficient number, since it is larger than the sum of its proper divisors (48944011).

101231001 is a wasteful number, since it uses less digits than its factorization.

101231001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304040 (or 304037 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101231001 is about 10061.3617865575. The cubic root of 101231001 is about 466.0557213236.

Adding to 101231001 its reverse (100132101), we get a palindrome (201363102).

The spelling of 101231001 in words is "one hundred one million, two hundred thirty-one thousand, one".