1002100110 has 128 divisors (see below), whose sum is σ = 2826731520. Its totient is φ = 224822400.

The previous prime is 1002100091. The next prime is 1002100117. The reversal of 1002100110 is 110012001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 233161 + ... + 237419.

It is an arithmetic number, because the mean of its divisors is an integer number (22083840).

Almost surely, 2^1002100110 is an apocalyptic number.

1002100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002100110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413365760).

1002100110 is an abundant number, since it is smaller than the sum of its proper divisors (1824631410).

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

1002100110 is a wasteful number, since it uses less digits than its factorization.

1002100110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4334.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1002100110 is about 31655.9648407690. The cubic root of 1002100110 is about 1000.6995471863.

Adding to 1002100110 its reverse (110012001), we get a palindrome (1112112111).

The spelling of 1002100110 in words is "one billion, two million, one hundred thousand, one hundred ten".