10200001012112 has 80 divisors (see below), whose sum is σ = 21061321457904. Its totient is φ = 4768782336000.

The previous prime is 10200001012093. The next prime is 10200001012139. The reversal of 10200001012112 is 21121010000201.

It can be written as a sum of positive squares in 8 ways, for example, as 1436009168896 + 8763991843216 = 1198336^2 + 2960404^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10200001012093 and 10200001012102.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50164412 + ... + 50367332.

Almost surely, 2^{10200001012112} 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 10200001012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10530660728952).

10200001012112 is an abundant number, since it is smaller than the sum of its proper divisors (10861320445792).

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

10200001012112 is a wasteful number, since it uses less digits than its factorization.

10200001012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204148 (or 204142 counting only the distinct ones).

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

Adding to 10200001012112 its reverse (21121010000201), we get a palindrome (31321011012313).

The spelling of 10200001012112 in words is "ten trillion, two hundred billion, one million, twelve thousand, one hundred twelve".