100011213120 has 448 divisors, whose sum is σ = 401388535296. Its totient is φ = 20530298880.

The previous prime is 100011213077. The next prime is 100011213139. The reversal of 100011213120 is 21312110001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100011213096 and 100011213105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3216850 + ... + 3247790.

It is an arithmetic number, because the mean of its divisors is an integer number (895956552).

Almost surely, 2^100011213120 is an apocalyptic number.

100011213120 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 100011213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200694267648).

100011213120 is an abundant number, since it is smaller than the sum of its proper divisors (301377322176).

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

100011213120 is a wasteful number, since it uses less digits than its factorization.

100011213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31018 (or 31008 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100011213120 its reverse (21312110001), we get a palindrome (121323323121).

The spelling of 100011213120 in words is "one hundred billion, eleven million, two hundred thirteen thousand, one hundred twenty".