121122112210100 has 18 divisors (see below), whose sum is σ = 262834983496134. Its totient is φ = 48448844884000.

The previous prime is 121122112210087. The next prime is 121122112210123. The reversal of 121122112210100 is 1012211221121.

It can be written as a sum of positive squares in 3 ways, for example, as 6551163106576 + 114570949103524 = 2559524^2 + 10703782^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 605610560951 + ... + 605610561150.

It is an arithmetic number, because the mean of its divisors is an integer number (14601943527563).

Almost surely, 2^{121122112210100} is an apocalyptic number.

121122112210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122112210100 is an abundant number, since it is smaller than the sum of its proper divisors (141712871286034).

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

121122112210100 is a wasteful number, since it uses less digits than its factorization.

121122112210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211221122115 (or 1211221122108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 121122112210100 its reverse (1012211221121), we get a palindrome (122134323431221).

The spelling of 121122112210100 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, two hundred ten thousand, one hundred".