100100211120 has 960 divisors, whose sum is σ = 425852743680. Its totient is φ = 20513046528.

The previous prime is 100100211109. The next prime is 100100211131. The reversal of 100100211120 is 21112001001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100100211109) and next prime (100100211131).

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 429614524 + ... + 429614756.

It is an arithmetic number, because the mean of its divisors is an integer number (443596608).

Almost surely, 2^100100211120 is an apocalyptic number.

100100211120 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 100100211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212926371840).

100100211120 is an abundant number, since it is smaller than the sum of its proper divisors (325752532560).

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

100100211120 is a wasteful number, since it uses less digits than its factorization.

100100211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 425 counting only the distinct ones).

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

Adding to 100100211120 its reverse (21112001001), we get a palindrome (121212212121).

The spelling of 100100211120 in words is "one hundred billion, one hundred million, two hundred eleven thousand, one hundred twenty".