100212110100 has 108 divisors (see below), whose sum is σ = 314939148160. Its totient is φ = 26652628800.

The previous prime is 100212110099. The next prime is 100212110101. The reversal of 100212110100 is 1011212001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100212110099) and next prime (100212110101).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212110101) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 194205 + ... + 487995.

Almost surely, 2^100212110100 is an apocalyptic number.

100212110100 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 100212110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157469574080).

100212110100 is an abundant number, since it is smaller than the sum of its proper divisors (214727038060).

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

100212110100 is a wasteful number, since it uses less digits than its factorization.

100212110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294190 (or 294180 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100212110100 its reverse (1011212001), we get a palindrome (101223322101).

The spelling of 100212110100 in words is "one hundred billion, two hundred twelve million, one hundred ten thousand, one hundred".