121121021222010 has 96 divisors (see below), whose sum is σ = 325855110522240. Its totient is φ = 31177397107584.

The previous prime is 121121021221987. The next prime is 121121021222011. The reversal of 121121021222010 is 10222120121121.

121121021222010 is a `hidden beast` number, since 1 + 2 + 11 + 210 + 212 + 220 + 10 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (121121021222011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4667589 + ... + 16248951.

It is an arithmetic number, because the mean of its divisors is an integer number (3394324067940).

Almost surely, 2^{121121021222010} is an apocalyptic number.

121121021222010 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 121121021222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162927555261120).

121121021222010 is an abundant number, since it is smaller than the sum of its proper divisors (204734089300230).

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

121121021222010 is a wasteful number, since it uses less digits than its factorization.

121121021222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11585412 (or 11585409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 121121021222010 its reverse (10222120121121), we get a palindrome (131343141343131).

The spelling of 121121021222010 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, twenty-one million, two hundred twenty-two thousand, ten".