100211123320 has 512 divisors, whose sum is σ = 311378411520. Its totient is φ = 28073041920.

The previous prime is 100211123291. The next prime is 100211123329. The reversal of 100211123320 is 23321112001.

It is a junction number, because it is equal to n+sod(n) for n = 100211123294 and 100211123303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211123329) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 105819087 + ... + 105820033.

It is an arithmetic number, because the mean of its divisors is an integer number (608160960).

Almost surely, 2^100211123320 is an apocalyptic number.

100211123320 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 100211123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155689205760).

100211123320 is an abundant number, since it is smaller than the sum of its proper divisors (211167288200).

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

100211123320 is a wasteful number, since it uses less digits than its factorization.

100211123320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 100211123320 its reverse (23321112001), we get a palindrome (123532235321).

The spelling of 100211123320 in words is "one hundred billion, two hundred eleven million, one hundred twenty-three thousand, three hundred twenty".