100002021300 has 108 divisors (see below), whose sum is σ = 313831228620. Its totient is φ = 26634839040.

The previous prime is 100002021293. The next prime is 100002021337. The reversal of 100002021300 is 3120200001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 466819236 + 99535202064 = 21606^2 + 315492^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 679084 + ... + 813116.

Almost surely, 2^100002021300 is an apocalyptic number.

100002021300 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 100002021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156915614310).

100002021300 is an abundant number, since it is smaller than the sum of its proper divisors (213829207320).

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

100002021300 is a wasteful number, since it uses less digits than its factorization.

100002021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134882 (or 134872 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 100002021300 its reverse (3120200001), we get a palindrome (103122221301).

The spelling of 100002021300 in words is "one hundred billion, two million, twenty-one thousand, three hundred".