100002100032 has 336 divisors, whose sum is σ = 300527435520. Its totient is φ = 31768068096.

The previous prime is 100002099971. The next prime is 100002100043. The reversal of 100002100032 is 230001200001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100002099987 and 100002100023.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 218822748 + ... + 218823204.

Almost surely, 2^100002100032 is an apocalyptic number.

100002100032 is a gapful number since it is divisible by the number (12) 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 100002100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150263717760).

100002100032 is an abundant number, since it is smaller than the sum of its proper divisors (200525335488).

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

100002100032 is a wasteful number, since it uses less digits than its factorization.

100002100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 705 counting only the distinct ones).

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

Adding to 100002100032 its reverse (230001200001), we get a palindrome (330003300033).

The spelling of 100002100032 in words is "one hundred billion, two million, one hundred thousand, thirty-two".