21130130100 has 288 divisors, whose sum is σ = 64939843584. Its totient is φ = 5297011200.

The previous prime is 21130130053. The next prime is 21130130111. The reversal of 21130130100 is 103103112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80342569 + ... + 80342831.

It is an arithmetic number, because the mean of its divisors is an integer number (225485568).

Almost surely, 2^21130130100 is an apocalyptic number.

21130130100 is a gapful number since it is divisible by the number (20) 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 21130130100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32469921792).

21130130100 is an abundant number, since it is smaller than the sum of its proper divisors (43809713484).

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

21130130100 is a wasteful number, since it uses less digits than its factorization.

21130130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 21130130100 its reverse (103103112), we get a palindrome (21233233212).

The spelling of 21130130100 in words is "twenty-one billion, one hundred thirty million, one hundred thirty thousand, one hundred".