10121112122120 has 64 divisors (see below), whose sum is σ = 23558271379200. Its totient is φ = 3908758613760.

The previous prime is 10121112122087. The next prime is 10121112122137. The reversal of 10121112122120 is 2122121112101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92827877 + ... + 92936843.

It is an arithmetic number, because the mean of its divisors is an integer number (368097990300).

Almost surely, 2^{10121112122120} is an apocalyptic number.

10121112122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121112122120 is an abundant number, since it is smaller than the sum of its proper divisors (13437159257080).

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

10121112122120 is a wasteful number, since it uses less digits than its factorization.

10121112122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189078 (or 189074 counting only the distinct ones).

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

Adding to 10121112122120 its reverse (2122121112101), we get a palindrome (12243233234221).

The spelling of 10121112122120 in words is "ten trillion, one hundred twenty-one billion, one hundred twelve million, one hundred twenty-two thousand, one hundred twenty".