121132442002110 has 512 divisors, whose sum is σ = 384823134130176. Its totient is φ = 23625105408000.

The previous prime is 121132442002087. The next prime is 121132442002129. The reversal of 121132442002110 is 11200244231121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 36562763814 + ... + 36562767126.

It is an arithmetic number, because the mean of its divisors is an integer number (751607683848).

Almost surely, 2^{121132442002110} is an apocalyptic number.

121132442002110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 121132442002110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192411567065088).

121132442002110 is an abundant number, since it is smaller than the sum of its proper divisors (263690692128066).

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

121132442002110 is a wasteful number, since it uses less digits than its factorization.

121132442002110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5620.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 121132442002110 its reverse (11200244231121), we get a palindrome (132332686233231).

The spelling of 121132442002110 in words is "one hundred twenty-one trillion, one hundred thirty-two billion, four hundred forty-two million, two thousand, one hundred ten".