10201112210112 has 56 divisors (see below), whose sum is σ = 27102436383792. Its totient is φ = 3386261299200.

The previous prime is 10201112210077. The next prime is 10201112210161. The reversal of 10201112210112 is 21101221110201.

It is a happy number.

It is a super-2 number, since 2×10201112210112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10201112210091 and 10201112210100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110183589 + ... + 110276132.

It is an arithmetic number, because the mean of its divisors is an integer number (483972078282).

Almost surely, 2^{10201112210112} is an apocalyptic number.

10201112210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10201112210112 is an abundant number, since it is smaller than the sum of its proper divisors (16901324173680).

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

10201112210112 is a wasteful number, since it uses less digits than its factorization.

10201112210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220459977 (or 220459967 counting only the distinct ones).

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

Adding to 10201112210112 its reverse (21101221110201), we get a palindrome (31302333320313).

The spelling of 10201112210112 in words is "ten trillion, two hundred one billion, one hundred twelve million, two hundred ten thousand, one hundred twelve".