10100100010112 has 256 divisors, whose sum is σ = 23604203520000. Its totient is φ = 4215088250880.

The previous prime is 10100100010073. The next prime is 10100100010123. The reversal of 10100100010112 is 21101000100101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10100100010112.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10872012464 + ... + 10872013392.

It is an arithmetic number, because the mean of its divisors is an integer number (92203920000).

Almost surely, 2^{10100100010112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100100010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11802101760000).

10100100010112 is an abundant number, since it is smaller than the sum of its proper divisors (13504103509888).

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

10100100010112 is an equidigital number, since it uses as much as digits as its factorization.

10100100010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2015 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100100010112 its reverse (21101000100101), we get a palindrome (31201100110213).

The spelling of 10100100010112 in words is "ten trillion, one hundred billion, one hundred million, ten thousand, one hundred twelve".