10100130333100 has 144 divisors (see below), whose sum is σ = 22469786730496. Its totient is φ = 3939407136000.

The previous prime is 10100130333089. The next prime is 10100130333131. The reversal of 10100130333100 is 133303100101.

It is a super-2 number, since 2×10100130333100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1139579269 + ... + 1139588131.

Almost surely, 2^{10100130333100} is an apocalyptic number.

10100130333100 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 10100130333100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11234893365248).

10100130333100 is an abundant number, since it is smaller than the sum of its proper divisors (12369656397396).

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

10100130333100 is a wasteful number, since it uses less digits than its factorization.

10100130333100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10529 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 10100130333100 its reverse (133303100101), we get a palindrome (10233433433201).

The spelling of 10100130333100 in words is "ten trillion, one hundred billion, one hundred thirty million, three hundred thirty-three thousand, one hundred".