100020210322100 has 144 divisors (see below), whose sum is σ = 230805330638400. Its totient is φ = 37514753280000.

The previous prime is 100020210322049. The next prime is 100020210322247. The reversal of 100020210322100 is 1223012020001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592694735 + ... + 592863465.

It is an arithmetic number, because the mean of its divisors is an integer number (1602814796100).

Almost surely, 2^{100020210322100} is an apocalyptic number.

100020210322100 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 100020210322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115402665319200).

100020210322100 is an abundant number, since it is smaller than the sum of its proper divisors (130785120316300).

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

100020210322100 is a wasteful number, since it uses less digits than its factorization.

100020210322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171954 (or 171947 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100020210322100 its reverse (1223012020001), we get a palindrome (101243222342101).

The spelling of 100020210322100 in words is "one hundred trillion, twenty billion, two hundred ten million, three hundred twenty-two thousand, one hundred".