100111210100 has 144 divisors (see below), whose sum is σ = 239844024000. Its totient is φ = 35967360000.

The previous prime is 100111210099. The next prime is 100111210103. The reversal of 100111210100 is 1012111001.

It is a happy number.

100111210100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111210103) 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, 95434376 + ... + 95435424.

It is an arithmetic number, because the mean of its divisors is an integer number (1665583500).

Almost surely, 2^100111210100 is an apocalyptic number.

100111210100 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 100111210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119922012000).

100111210100 is an abundant number, since it is smaller than the sum of its proper divisors (139732813900).

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

100111210100 is a wasteful number, since it uses less digits than its factorization.

100111210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100111210100 its reverse (1012111001), we get a palindrome (101123321101).

Subtracting from 100111210100 its reverse (1012111001), we obtain a palindrome (99099099099).

The spelling of 100111210100 in words is "one hundred billion, one hundred eleven million, two hundred ten thousand, one hundred".