100203102030 has 128 divisors (see below), whose sum is σ = 259525140480. Its totient is φ = 24688097280.

The previous prime is 100203102019. The next prime is 100203102031. The reversal of 100203102030 is 30201302001.

It is a happy number.

It is a super-3 number, since 3×100203102030³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100203101997 and 100203102015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100203102031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12166794 + ... + 12175026.

It is an arithmetic number, because the mean of its divisors is an integer number (2027540160).

Almost surely, 2^100203102030 is an apocalyptic number.

100203102030 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 100203102030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129762570240).

100203102030 is an abundant number, since it is smaller than the sum of its proper divisors (159322038450).

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

100203102030 is a wasteful number, since it uses less digits than its factorization.

100203102030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8866.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100203102030 its reverse (30201302001), we get a palindrome (130404404031).

The spelling of 100203102030 in words is "one hundred billion, two hundred three million, one hundred two thousand, thirty".