100211102221120 has 112 divisors (see below), whose sum is σ = 260434960651008. Its totient is φ = 36424464168960.

The previous prime is 100211102221103. The next prime is 100211102221189. The reversal of 100211102221120 is 21122201112001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 100211102221094 and 100211102221103.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1826134 + ... + 14274346.

Almost surely, 2^{100211102221120} is an apocalyptic number.

100211102221120 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 100211102221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130217480325504).

100211102221120 is an abundant number, since it is smaller than the sum of its proper divisors (160223858429888).

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

100211102221120 is a wasteful number, since it uses less digits than its factorization.

100211102221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12450528 (or 12450518 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100211102221120 its reverse (21122201112001), we get a palindrome (121333303333121).

The spelling of 100211102221120 in words is "one hundred trillion, two hundred eleven billion, one hundred two million, two hundred twenty-one thousand, one hundred twenty".