100110201120 has 432 divisors, whose sum is σ = 378718441920. Its totient is φ = 24030978048.

The previous prime is 100110201089. The next prime is 100110201127. The reversal of 100110201120 is 21102011001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100110201127) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9566451 + ... + 9576909.

It is an arithmetic number, because the mean of its divisors is an integer number (876663060).

Almost surely, 2^100110201120 is an apocalyptic number.

100110201120 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 100110201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189359220960).

100110201120 is an abundant number, since it is smaller than the sum of its proper divisors (278608240800).

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

100110201120 is a wasteful number, since it uses less digits than its factorization.

100110201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10537 (or 10509 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100110201120 its reverse (21102011001), we get a palindrome (121212212121).

The spelling of 100110201120 in words is "one hundred billion, one hundred ten million, two hundred one thousand, one hundred twenty".