10201110101112 has 32 divisors (see below), whose sum is σ = 29146028860800. Its totient is φ = 2914602885984.

The previous prime is 10201110101111. The next prime is 10201110101137. The reversal of 10201110101112 is 21110101110201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201110101111) 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, 30360446562 + ... + 30360446897.

It is an arithmetic number, because the mean of its divisors is an integer number (910813401900).

Almost surely, 2^{10201110101112} is an apocalyptic number.

10201110101112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201110101112 is an abundant number, since it is smaller than the sum of its proper divisors (18944918759688).

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

10201110101112 is a wasteful number, since it uses less digits than its factorization.

10201110101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60720893475 (or 60720893471 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10201110101112 its reverse (21110101110201), we get a palindrome (31311211211313).

The spelling of 10201110101112 in words is "ten trillion, two hundred one billion, one hundred ten million, one hundred one thousand, one hundred twelve".