10121120012112 has 20 divisors (see below), whose sum is σ = 26146226698080. Its totient is φ = 3373706670688.

The previous prime is 10121120012111. The next prime is 10121120012119. The reversal of 10121120012112 is 21121002112101.

It is a happy number.

It is a super-3 number, since 3×10121120012112³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10121120012091 and 10121120012100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121120012111) 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, 105428333412 + ... + 105428333507.

It is an arithmetic number, because the mean of its divisors is an integer number (1307311334904).

Almost surely, 2^{10121120012112} is an apocalyptic number.

10121120012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121120012112 is an abundant number, since it is smaller than the sum of its proper divisors (16025106685968).

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

10121120012112 is a wasteful number, since it uses less digits than its factorization.

10121120012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210856666930 (or 210856666924 counting only the distinct ones).

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

Adding to 10121120012112 its reverse (21121002112101), we get a palindrome (31242122124213).

The spelling of 10121120012112 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, twelve thousand, one hundred twelve".