100212101112100 has 144 divisors (see below), whose sum is σ = 224566906798080. Its totient is φ = 38790817228800.

The previous prime is 100212101112061. The next prime is 100212101112121. The reversal of 100212101112100 is 1211101212001.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2748757072 + ... + 2748793528.

It is an arithmetic number, because the mean of its divisors is an integer number (1559492408320).

Almost surely, 2^{100212101112100} is an apocalyptic number.

100212101112100 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 100212101112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112283453399040).

100212101112100 is an abundant number, since it is smaller than the sum of its proper divisors (124354805685980).

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

100212101112100 is a wasteful number, since it uses less digits than its factorization.

100212101112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41918 (or 41911 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100212101112100 its reverse (1211101212001), we get a palindrome (101423202324101).

Subtracting from 100212101112100 its reverse (1211101212001), we obtain a palindrome (99000999900099).

The spelling of 100212101112100 in words is "one hundred trillion, two hundred twelve billion, one hundred one million, one hundred twelve thousand, one hundred".