10121131232120 has 256 divisors, whose sum is σ = 24892493875200. Its totient is φ = 3690800640000.

The previous prime is 10121131232071. The next prime is 10121131232129. The reversal of 10121131232120 is 2123213112101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10121131232092 and 10121131232101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121131232129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 852874427 + ... + 852886293.

It is an arithmetic number, because the mean of its divisors is an integer number (97236304200).

Almost surely, 2^{10121131232120} is an apocalyptic number.

10121131232120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121131232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12446246937600).

10121131232120 is an abundant number, since it is smaller than the sum of its proper divisors (14771362643080).

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

10121131232120 is a wasteful number, since it uses less digits than its factorization.

10121131232120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12310 (or 12306 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10121131232120 its reverse (2123213112101), we get a palindrome (12244344344221).

The spelling of 10121131232120 in words is "ten trillion, one hundred twenty-one billion, one hundred thirty-one million, two hundred thirty-two thousand, one hundred twenty".