1002102100 has 72 divisors (see below), whose sum is σ = 2236676288. Its totient is φ = 389491200.

The previous prime is 1002102097. The next prime is 1002102109. The reversal of 1002102100 is 12012001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002102109) 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 23 ways as a sum of consecutive naturals, for example, 1035817 + ... + 1036783.

Almost surely, 2^1002102100 is an apocalyptic number.

1002102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1118338144).

1002102100 is an abundant number, since it is smaller than the sum of its proper divisors (1234574188).

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

1002102100 is a wasteful number, since it uses less digits than its factorization.

1002102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 1002102100 is about 31655.9962724284. The cubic root of 1002102100 is about 1000.7002095921.

Adding to 1002102100 its reverse (12012001), we get a palindrome (1014114101).

Subtracting from 1002102100 its reverse (12012001), we obtain a palindrome (990090099).

The spelling of 1002102100 in words is "one billion, two million, one hundred two thousand, one hundred".