10100001002112 has 192 divisors, whose sum is σ = 33287529749760. Its totient is φ = 2879480862720.

The previous prime is 10100001002099. The next prime is 10100001002149. The reversal of 10100001002112 is 21120010000101.

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 = 10100001002094 and 10100001002103.

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, 2381062 + ... + 5086202.

It is an arithmetic number, because the mean of its divisors is an integer number (173372550780).

Almost surely, 2^{10100001002112} is an apocalyptic number.

10100001002112 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 10100001002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16643764874880).

10100001002112 is an abundant number, since it is smaller than the sum of its proper divisors (23187528747648).

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

10100001002112 is a wasteful number, since it uses less digits than its factorization.

10100001002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2705631 (or 2705616 counting only the distinct ones).

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

Adding to 10100001002112 its reverse (21120010000101), we get a palindrome (31220011002213).

The spelling of 10100001002112 in words is "ten trillion, one hundred billion, one million, two thousand, one hundred twelve".