100101210000012 has 144 divisors (see below), whose sum is σ = 273389450836320. Its totient is φ = 30699597487104.

The previous prime is 100101209999957. The next prime is 100101210000019. The reversal of 100101210000012 is 210000012101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101209999949 and 100101210000003.

It is not an unprimeable number, because it can be changed into a prime (100101210000019) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3337915914 + ... + 3337945902.

It is an arithmetic number, because the mean of its divisors is an integer number (1898537853030).

Almost surely, 2^{100101210000012} is an apocalyptic number.

100101210000012 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 100101210000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136694725418160).

100101210000012 is an abundant number, since it is smaller than the sum of its proper divisors (173288240836308).

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

100101210000012 is a wasteful number, since it uses less digits than its factorization.

100101210000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53112 (or 53107 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100101210000012 its reverse (210000012101001), we get a palindrome (310101222101013).

The spelling of 100101210000012 in words is "one hundred trillion, one hundred one billion, two hundred ten million, twelve", and thus it is an aban number.