100110201212112 has 640 divisors, whose sum is σ = 324933922897920. Its totient is φ = 25858077327360.

The previous prime is 100110201211901. The next prime is 100110201212159. The reversal of 100110201212112 is 211212102011001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100110201212091 and 100110201212100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31196695564 + ... + 31196698772.

It is an arithmetic number, because the mean of its divisors is an integer number (507709254528).

Almost surely, 2^{100110201212112} is an apocalyptic number.

100110201212112 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 100110201212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162466961448960).

100110201212112 is an abundant number, since it is smaller than the sum of its proper divisors (224823721685808).

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

100110201212112 is a wasteful number, since it uses less digits than its factorization.

100110201212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3971 (or 3965 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100110201212112 its reverse (211212102011001), we get a palindrome (311322303223113).

The spelling of 100110201212112 in words is "one hundred trillion, one hundred ten billion, two hundred one million, two hundred twelve thousand, one hundred twelve".