100220110212012 has 96 divisors (see below), whose sum is σ = 269598733307904. Its totient is φ = 28383550977600.

The previous prime is 100220110212007. The next prime is 100220110212017. The reversal of 100220110212012 is 210212011022001.

It is an interprime number because it is at equal distance from previous prime (100220110212007) and next prime (100220110212017).

It is a junction number, because it is equal to n+sod(n) for n = 100220110211982 and 100220110212000.

It is not an unprimeable number, because it can be changed into a prime (100220110212017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4559337 + ... + 14873727.

It is an arithmetic number, because the mean of its divisors is an integer number (2808320138624).

Almost surely, 2^{100220110212012} is an apocalyptic number.

100220110212012 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 100220110212012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134799366653952).

100220110212012 is an abundant number, since it is smaller than the sum of its proper divisors (169378623095892).

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

100220110212012 is a wasteful number, since it uses less digits than its factorization.

100220110212012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10315419 (or 10315417 counting only the distinct ones).

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

Adding to 100220110212012 its reverse (210212011022001), we get a palindrome (310432121234013).

The spelling of 100220110212012 in words is "one hundred trillion, two hundred twenty billion, one hundred ten million, two hundred twelve thousand, twelve".