100211110011220 has 24 divisors (see below), whose sum is σ = 226631279564424. Its totient is φ = 37001025234816.

The previous prime is 100211110011209. The next prime is 100211110011307. The reversal of 100211110011220 is 22110011112001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4713223632016 + 95497886379204 = 2170996^2 + 9772302^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 100211110011220.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192713672839 + ... + 192713673358.

It is an arithmetic number, because the mean of its divisors is an integer number (9442969981851).

Almost surely, 2^{100211110011220} is an apocalyptic number.

100211110011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211110011220 is an abundant number, since it is smaller than the sum of its proper divisors (126420169553204).

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

100211110011220 is a wasteful number, since it uses less digits than its factorization.

100211110011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385427346219 (or 385427346217 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100211110011220 its reverse (22110011112001), we get a palindrome (122321121123221).

The spelling of 100211110011220 in words is "one hundred trillion, two hundred eleven billion, one hundred ten million, eleven thousand, two hundred twenty".