100300210010112 has 288 divisors, whose sum is σ = 324636289810560. Its totient is φ = 26971481702400.

The previous prime is 100300210010089. The next prime is 100300210010173. The reversal of 100300210010112 is 211010012003001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8394487 + ... + 16464137.

It is an arithmetic number, because the mean of its divisors is an integer number (1127209339620).

Almost surely, 2^{100300210010112} is an apocalyptic number.

100300210010112 is a gapful number since it is divisible by the number (12) 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 100300210010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162318144905280).

100300210010112 is an abundant number, since it is smaller than the sum of its proper divisors (224336079800448).

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

100300210010112 is an equidigital number, since it uses as much as digits as its factorization.

100300210010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8069717 (or 8069680 counting only the distinct ones).

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

Adding to 100300210010112 its reverse (211010012003001), we get a palindrome (311310222013113).

The spelling of 100300210010112 in words is "one hundred trillion, three hundred billion, two hundred ten million, ten thousand, one hundred twelve".