100211010100 has 108 divisors (see below), whose sum is σ = 231301168000. Its totient is φ = 37677657600.

The previous prime is 100211010089. The next prime is 100211010127. The reversal of 100211010100 is 1010112001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28638151 + ... + 28641649.

Almost surely, 2^100211010100 is an apocalyptic number.

100211010100 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 100211010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115650584000).

100211010100 is an abundant number, since it is smaller than the sum of its proper divisors (131090157900).

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

100211010100 is a wasteful number, since it uses less digits than its factorization.

100211010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4538 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100211010100 its reverse (1010112001), we get a palindrome (101221122101).

The spelling of 100211010100 in words is "one hundred billion, two hundred eleven million, ten thousand, one hundred".