100100210020 has 72 divisors (see below), whose sum is σ = 217911657600. Its totient is φ = 38623423104.

The previous prime is 100100210003. The next prime is 100100210027. The reversal of 100100210020 is 20012001001.

It is a junction number, because it is equal to n+sod(n) for n = 100100209985 and 100100210012.

It is not an unprimeable number, because it can be changed into a prime (100100210027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24538341 + ... + 24542419.

It is an arithmetic number, because the mean of its divisors is an integer number (3026550800).

Almost surely, 2^100100210020 is an apocalyptic number.

100100210020 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 100100210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108955828800).

100100210020 is an abundant number, since it is smaller than the sum of its proper divisors (117811447580).

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

100100210020 is a wasteful number, since it uses less digits than its factorization.

100100210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5605 (or 5574 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100100210020 its reverse (20012001001), we get a palindrome (120112211021).

The spelling of 100100210020 in words is "one hundred billion, one hundred million, two hundred ten thousand, twenty".