121121121122010 has 48 divisors (see below), whose sum is σ = 318032884395720. Its totient is φ = 31979173891200.

The previous prime is 121121121121991. The next prime is 121121121122041. The reversal of 121121121122010 is 10221121121121.

It is a happy number.

121121121122010 is a `hidden beast` number, since 1 + 2 + 11 + 211 + 211 + 220 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116527210479729 + 4593910642281 = 10794777^2 + 2143341^2 .

It is a super-2 number, since 2×121121121122010² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6662318805 + ... + 6662336984.

Almost surely, 2^{121121121122010} is an apocalyptic number.

121121121122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

121121121122010 is an abundant number, since it is smaller than the sum of its proper divisors (196911763273710).

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

121121121122010 is a wasteful number, since it uses less digits than its factorization.

121121121122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13324655903 (or 13324655900 counting only the distinct ones).

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

Adding to 121121121122010 its reverse (10221121121121), we get a palindrome (131342242243131).

The spelling of 121121121122010 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, one hundred twenty-one million, one hundred twenty-two thousand, ten".