10121120212112 has 80 divisors (see below), whose sum is σ = 24590356116480. Its totient is φ = 3928413206016.

The previous prime is 10121120212057. The next prime is 10121120212237. The reversal of 10121120212112 is 21121202112101.

It is a super-3 number, since 3×10121120212112³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65501312 + ... + 65655647.

It is an arithmetic number, because the mean of its divisors is an integer number (307379451456).

Almost surely, 2^{10121120212112} is an apocalyptic number.

It is an amenable number.

10121120212112 is an abundant number, since it is smaller than the sum of its proper divisors (14469235904368).

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

10121120212112 is a wasteful number, since it uses less digits than its factorization.

10121120212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131157040 (or 131157034 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10121120212112 its reverse (21121202112101), we get a palindrome (31242322324213).

The spelling of 10121120212112 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, two hundred twelve thousand, one hundred twelve".