100212212100 has 864 divisors, whose sum is σ = 409613783040. Its totient is φ = 18371865600.

The previous prime is 100212212083. The next prime is 100212212131. The reversal of 100212212100 is 1212212001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 75975241 + ... + 75976559.

Almost surely, 2^100212212100 is an apocalyptic number.

100212212100 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 100212212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204806891520).

100212212100 is an abundant number, since it is smaller than the sum of its proper divisors (309401570940).

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

100212212100 is a wasteful number, since it uses less digits than its factorization.

100212212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100212212100 its reverse (1212212001), we get a palindrome (101424424101).

Subtracting from 100212212100 its reverse (1212212001), we obtain a palindrome (99000000099).

The spelling of 100212212100 in words is "one hundred billion, two hundred twelve million, two hundred twelve thousand, one hundred".