121121012122110 has 2560 divisors, whose sum is σ = 478201986662400. Its totient is φ = 21168805109760.

The previous prime is 121121012122073. The next prime is 121121012122141. The reversal of 121121012122110 is 11221210121121.

It is a happy number.

121121012122110 is a `hidden beast` number, since 1 + 211 + 210 + 1 + 21 + 221 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1279 ways as a sum of consecutive naturals, for example, 44382927226 + ... + 44382929954.

It is an arithmetic number, because the mean of its divisors is an integer number (186797651040).

Almost surely, 2^{121121012122110} is an apocalyptic number.

121121012122110 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 121121012122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239100993331200).

121121012122110 is an abundant number, since it is smaller than the sum of its proper divisors (357080974540290).

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

121121012122110 is a wasteful number, since it uses less digits than its factorization.

121121012122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2908 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121121012122110 its reverse (11221210121121), we get a palindrome (132342222243231).

The spelling of 121121012122110 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, twelve million, one hundred twenty-two thousand, one hundred ten".