1020001012112 has 40 divisors (see below), whose sum is σ = 2094141397176. Its totient is φ = 479624431616.

The previous prime is 1020001012099. The next prime is 1020001012207. The reversal of 1020001012112 is 2112101000201.

1020001012112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 416856174736 + 603144837376 = 645644^2 + 776624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020001012093 and 1020001012102.

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, 1120943 + ... + 1815630.

Almost surely, 2^{1020001012112} is an apocalyptic number.

It is an amenable number.

1020001012112 is an abundant number, since it is smaller than the sum of its proper divisors (1074140385064).

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

1020001012112 is a wasteful number, since it uses less digits than its factorization.

1020001012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2937875 (or 2937869 counting only the distinct ones).

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

Adding to 1020001012112 its reverse (2112101000201), we get a palindrome (3132102012313).

The spelling of 1020001012112 in words is "one trillion, twenty billion, one million, twelve thousand, one hundred twelve".