10201110212112 has 40 divisors (see below), whose sum is σ = 26423519215104. Its totient is φ = 3391253791104.

The previous prime is 10201110212099. The next prime is 10201110212119. The reversal of 10201110212112 is 21121201110201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10201110212091 and 10201110212100.

It is not an unprimeable number, because it can be changed into a prime (10201110212119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 284865648 + ... + 284901455.

Almost surely, 2^{10201110212112} is an apocalyptic number.

10201110212112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201110212112 is an abundant number, since it is smaller than the sum of its proper divisors (16222409002992).

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

10201110212112 is a wasteful number, since it uses less digits than its factorization.

10201110212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569767487 (or 569767481 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10201110212112 its reverse (21121201110201), we get a palindrome (31322311322313).

The spelling of 10201110212112 in words is "ten trillion, two hundred one billion, one hundred ten million, two hundred twelve thousand, one hundred twelve".