101006001 has 16 divisors (see below), whose sum is σ = 153289920. Its totient is φ = 65694240.

The previous prime is 101005997. The next prime is 101006069. The reversal of 101006001 is 100600101.

It is not a de Polignac number, because 101006001 - 2² = 101005997 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101006701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44515 + ... + 46728.

It is an arithmetic number, because the mean of its divisors is an integer number (9580620).

Almost surely, 2^101006001 is an apocalyptic number.

It is an amenable number.

101006001 is a deficient number, since it is larger than the sum of its proper divisors (52283919).

101006001 is an equidigital number, since it uses as much as digits as its factorization.

101006001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91293 (or 91287 counting only the distinct ones).

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

The square root of 101006001 is about 10050.1741775951. The cubic root of 101006001 is about 465.7101739357.

Adding to 101006001 its reverse (100600101), we get a palindrome (201606102).

The spelling of 101006001 in words is "one hundred one million, six thousand, one".