10201008 has 30 divisors (see below), whose sum is σ = 26409892. Its totient is φ = 3392960.

The previous prime is 10201007. The next prime is 10201013. The reversal of 10201008 is 80010201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10200984 and 10201002.

It is not an unprimeable number, because it can be changed into a prime (10201001) 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 in 5 ways as a sum of consecutive naturals, for example, 21898 + ... + 22358.

Almost surely, 2^10201008 is an apocalyptic number.

It is an amenable number.

10201008 is an abundant number, since it is smaller than the sum of its proper divisors (16208884).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201008 is an frugal number, since it uses more digits than its factorization.

10201008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 10201008 is about 3193.9016891570. The cubic root of 10201008 is about 216.8774322521.

Multiplying 10201008 by its sum of digits (12), we get a square (122412096 = 11064²).

10201008 divided by its sum of digits (12) gives a square (850084 = 922²).

Adding to 10201008 its reverse (80010201), we get a palindrome (90211209).

The spelling of 10201008 in words is "ten million, two hundred one thousand, eight".