100103310000 has 800 divisors, whose sum is σ = 385524342720. Its totient is φ = 24772608000.

The previous prime is 100103309963. The next prime is 100103310029. The reversal of 100103310000 is 13301001.

It is a super-2 number, since 2×100103310000² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 518669904 + ... + 518670096.

Almost surely, 2^100103310000 is an apocalyptic number.

100103310000 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 100103310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192762171360).

100103310000 is an abundant number, since it is smaller than the sum of its proper divisors (285421032720).

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

100103310000 is a wasteful number, since it uses less digits than its factorization.

100103310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 333 counting only the distinct ones).

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

Adding to 100103310000 its reverse (13301001), we get a palindrome (100116611001).

The spelling of 100103310000 in words is "one hundred billion, one hundred three million, three hundred ten thousand".