10121121123132 has 288 divisors, whose sum is σ = 26550595653120. Its totient is φ = 2991370314240.

The previous prime is 10121121123121. The next prime is 10121121123137. The reversal of 10121121123132 is 23132112112101.

It is a junction number, because it is equal to n+sod(n) for n = 10121121123099 and 10121121123108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121121123137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1449390913 + ... + 1449397895.

It is an arithmetic number, because the mean of its divisors is an integer number (92189568240).

Almost surely, 2^{10121121123132} is an apocalyptic number.

10121121123132 is a gapful number since it is divisible by the number (12) 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 10121121123132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13275297826560).

10121121123132 is an abundant number, since it is smaller than the sum of its proper divisors (16429474529988).

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

10121121123132 is a wasteful number, since it uses less digits than its factorization.

10121121123132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7313 (or 7288 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 10121121123132 its reverse (23132112112101), we get a palindrome (33253233235233).

The spelling of 10121121123132 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-three thousand, one hundred thirty-two".