10121121112120 has 64 divisors (see below), whose sum is σ = 23656350672000. Its totient is φ = 3892491660288.

The previous prime is 10121121112099. The next prime is 10121121112127. The reversal of 10121121112120 is 2121112112101.

It is a super-2 number, since 2×10121121112120² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121121112094 and 10121121112103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121121112127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17976117 + ... + 18530596.

It is an arithmetic number, because the mean of its divisors is an integer number (369630479250).

Almost surely, 2^{10121121112120} is an apocalyptic number.

10121121112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121121112120 is an abundant number, since it is smaller than the sum of its proper divisors (13535229559880).

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

10121121112120 is a wasteful number, since it uses less digits than its factorization.

10121121112120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36506992 (or 36506988 counting only the distinct ones).

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

Adding to 10121121112120 its reverse (2121112112101), we get a palindrome (12242233224221).

The spelling of 10121121112120 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twenty".