10100010 has 16 divisors (see below), whose sum is σ = 24240096. Its totient is φ = 2693328.

The previous prime is 10100009. The next prime is 10100011. The reversal of 10100010 is 1000101.

It is an interprime number because it is at equal distance from previous prime (10100009) and next prime (10100011).

It is a Harshad number since it is a multiple of its sum of digits (3).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10099968 and 10100004.

It is not an unprimeable number, because it can be changed into a prime (10100011) 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, 168304 + ... + 168363.

It is an arithmetic number, because the mean of its divisors is an integer number (1515006).

Almost surely, 2^10100010 is an apocalyptic number.

10100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100010 is an abundant number, since it is smaller than the sum of its proper divisors (14140086).

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

10100010 is a wasteful number, since it uses less digits than its factorization.

10100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336677.

The product of its (nonzero) digits is 1, while the sum is 3.

The square root of 10100010 is about 3178.0512897057. The cubic root of 10100010 is about 216.1593046342.

Adding to 10100010 its reverse (1000101), we get a palindrome (11100111).

Subtracting from 10100010 its reverse (1000101), we obtain a palindrome (9099909).

The spelling of 10100010 in words is "ten million, one hundred thousand, ten".