10211120012112 has 20 divisors (see below), whose sum is σ = 26378726698080. Its totient is φ = 3403706670688.

The previous prime is 10211120012101. The next prime is 10211120012113. The reversal of 10211120012112 is 21121002111201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10211120012091 and 10211120012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211120012113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 106365833412 + ... + 106365833507.

It is an arithmetic number, because the mean of its divisors is an integer number (1318936334904).

Almost surely, 2^{10211120012112} is an apocalyptic number.

10211120012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211120012112 is an abundant number, since it is smaller than the sum of its proper divisors (16167606685968).

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

10211120012112 is a wasteful number, since it uses less digits than its factorization.

10211120012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212731666930 (or 212731666924 counting only the distinct ones).

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

Adding to 10211120012112 its reverse (21121002111201), we get a palindrome (31332122123313).

The spelling of 10211120012112 in words is "ten trillion, two hundred eleven billion, one hundred twenty million, twelve thousand, one hundred twelve".