100855211520 has 640 divisors, whose sum is σ = 386043863040. Its totient is φ = 21976842240.

The previous prime is 100855211519. The next prime is 100855211549. The reversal of 100855211520 is 25112558001.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 121658466 + ... + 121659294.

It is an arithmetic number, because the mean of its divisors is an integer number (603193536).

Almost surely, 2^100855211520 is an apocalyptic number.

100855211520 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 100855211520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193021931520).

100855211520 is an abundant number, since it is smaller than the sum of its proper divisors (285188651520).

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

100855211520 is an equidigital number, since it uses as much as digits as its factorization.

100855211520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 30.

Adding to 100855211520 its reverse (25112558001), we get a palindrome (125967769521).

The spelling of 100855211520 in words is "one hundred billion, eight hundred fifty-five million, two hundred eleven thousand, five hundred twenty".