221030120100100 has 144 divisors (see below), whose sum is σ = 488034848770560. Its totient is φ = 86872388198400.

The previous prime is 221030120100079. The next prime is 221030120100173. The reversal of 221030120100100 is 1001021030122.

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, 6242536597 + ... + 6242572003.

It is an arithmetic number, because the mean of its divisors is an integer number (3389130894240).

Almost surely, 2^{221030120100100} is an apocalyptic number.

221030120100100 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 221030120100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244017424385280).

221030120100100 is an abundant number, since it is smaller than the sum of its proper divisors (267004728670460).

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

221030120100100 is a wasteful number, since it uses less digits than its factorization.

221030120100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38438 (or 38431 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 221030120100100 its reverse (1001021030122), we get a palindrome (222031141130222).

The spelling of 221030120100100 in words is "two hundred twenty-one trillion, thirty billion, one hundred twenty million, one hundred thousand, one hundred".