10020011002112 has 72 divisors (see below), whose sum is σ = 20217416645496. Its totient is φ = 4955818622976.

The previous prime is 10020011002051. The next prime is 10020011002121. The reversal of 10020011002112 is 21120011002001.

It can be written as a sum of positive squares in 4 ways, for example, as 2207672958976 + 7812338043136 = 1485824^2 + 2795056^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10020011002093 and 10020011002102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48891278 + ... + 49095794.

Almost surely, 2^{10020011002112} 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 10020011002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10108708322748).

10020011002112 is an abundant number, since it is smaller than the sum of its proper divisors (10197405643384).

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

10020011002112 is an equidigital number, since it uses as much as digits as its factorization.

10020011002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206603 (or 206589 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10020011002112 its reverse (21120011002001), we get a palindrome (31140022004113).

The spelling of 10020011002112 in words is "ten trillion, twenty billion, eleven million, two thousand, one hundred twelve".