100011211221120 has 128 divisors (see below), whose sum is σ = 318788757829440. Its totient is φ = 26669403500544.

The previous prime is 100011211221043. The next prime is 100011211221137. The reversal of 100011211221120 is 21122112110001.

It is a happy number.

100011211221120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100011211221120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293046099 + ... + 293387181.

Almost surely, 2^{100011211221120} is an apocalyptic number.

100011211221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100011211221120 is an abundant number, since it is smaller than the sum of its proper divisors (218777546608320).

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

100011211221120 is a wasteful number, since it uses less digits than its factorization.

100011211221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493822 (or 493810 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100011211221120 its reverse (21122112110001), we get a palindrome (121133323331121).

The spelling of 100011211221120 in words is "one hundred trillion, eleven billion, two hundred eleven million, two hundred twenty-one thousand, one hundred twenty".