100012010112 has 192 divisors, whose sum is σ = 329634264960. Its totient is φ = 28511815680.

The previous prime is 100012010099. The next prime is 100012010149. The reversal of 100012010112 is 211010210001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 100012010094 and 100012010103.

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, 3704053 + ... + 3730955.

It is an arithmetic number, because the mean of its divisors is an integer number (1716845130).

Almost surely, 2^100012010112 is an apocalyptic number.

100012010112 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 100012010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164817132480).

100012010112 is an abundant number, since it is smaller than the sum of its proper divisors (229622254848).

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

100012010112 is a wasteful number, since it uses less digits than its factorization.

100012010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27391 (or 27376 counting only the distinct ones).

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

Adding to 100012010112 its reverse (211010210001), we get a palindrome (311022220113).

The spelling of 100012010112 in words is "one hundred billion, twelve million, ten thousand, one hundred twelve".