100102120021120 has 128 divisors (see below), whose sum is σ = 273551134487040. Its totient is φ = 34313468227584.

The previous prime is 100102120021073. The next prime is 100102120021187. The reversal of 100102120021120 is 21120021201001.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100102120021120.

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, 18843369 + ... + 23564311.

It is an arithmetic number, because the mean of its divisors is an integer number (2137118238180).

Almost surely, 2^{100102120021120} is an apocalyptic number.

100102120021120 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 100102120021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136775567243520).

100102120021120 is an abundant number, since it is smaller than the sum of its proper divisors (173449014465920).

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

100102120021120 is an equidigital number, since it uses as much as digits as its factorization.

100102120021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725702 (or 4725690 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100102120021120 its reverse (21120021201001), we get a palindrome (121222141222121).

The spelling of 100102120021120 in words is "one hundred trillion, one hundred two billion, one hundred twenty million, twenty-one thousand, one hundred twenty".