100212112210100 has 144 divisors (see below), whose sum is σ = 238360337712000. Its totient is φ = 36267172032000.

The previous prime is 100212112210081. The next prime is 100212112210109. The reversal of 100212112210100 is 1012211212001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212112210109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 642015065 + ... + 642171135.

It is an arithmetic number, because the mean of its divisors is an integer number (1655280123000).

Almost surely, 2^{100212112210100} is an apocalyptic number.

100212112210100 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 100212112210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119180168856000).

100212112210100 is an abundant number, since it is smaller than the sum of its proper divisors (138148225501900).

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

100212112210100 is a wasteful number, since it uses less digits than its factorization.

100212112210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158874 (or 158867 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100212112210100 its reverse (1012211212001), we get a palindrome (101224323422101).

The spelling of 100212112210100 in words is "one hundred trillion, two hundred twelve billion, one hundred twelve million, two hundred ten thousand, one hundred".