10201110010112 has 144 divisors (see below), whose sum is σ = 24712875384960. Its totient is φ = 4105149382656.

The previous prime is 10201110010103. The next prime is 10201110010139. The reversal of 10201110010112 is 21101001110201.

It is a junction number, because it is equal to n+sod(n) for n = 10201110010093 and 10201110010102.

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, 2521718 + ... + 5173130.

Almost surely, 2^{10201110010112} 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 10201110010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12356437692480).

10201110010112 is an abundant number, since it is smaller than the sum of its proper divisors (14511765374848).

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

10201110010112 is a wasteful number, since it uses less digits than its factorization.

10201110010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2651568 (or 2651554 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10201110010112 its reverse (21101001110201), we get a palindrome (31302111120313).

The spelling of 10201110010112 in words is "ten trillion, two hundred one billion, one hundred ten million, ten thousand, one hundred twelve".