100120221002112 has 192 divisors, whose sum is σ = 273365978109840. Its totient is φ = 32466707619840.

The previous prime is 100120221002107. The next prime is 100120221002209. The reversal of 100120221002112 is 211200122021001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 100120221002091 and 100120221002100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6803024578 + ... + 6803039294.

Almost surely, 2^{100120221002112} is an apocalyptic number.

100120221002112 is a gapful number since it is divisible by the number (12) 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 100120221002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136682989054920).

100120221002112 is an abundant number, since it is smaller than the sum of its proper divisors (173245757107728).

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

100120221002112 is a wasteful number, since it uses less digits than its factorization.

100120221002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27749 (or 27700 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100120221002112 its reverse (211200122021001), we get a palindrome (311320343023113).

The spelling of 100120221002112 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty-one million, two thousand, one hundred twelve".