100201221020 has 96 divisors (see below), whose sum is σ = 220029082560. Its totient is φ = 38296258560.

The previous prime is 100201221017. The next prime is 100201221179. The reversal of 100201221020 is 20122102001.

It is a happy number.

100201221020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100201220992 and 100201221010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13397522 + ... + 13404998.

It is an arithmetic number, because the mean of its divisors is an integer number (2291969610).

Almost surely, 2^100201221020 is an apocalyptic number.

100201221020 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 100201221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110014541280).

100201221020 is an abundant number, since it is smaller than the sum of its proper divisors (119827861540).

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

100201221020 is a wasteful number, since it uses less digits than its factorization.

100201221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7863 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100201221020 its reverse (20122102001), we get a palindrome (120323323021).

The spelling of 100201221020 in words is "one hundred billion, two hundred one million, two hundred twenty-one thousand, twenty".