121122122101100 has 36 divisors (see below), whose sum is σ = 263812086820800. Its totient is φ = 48268741584960.

The previous prime is 121122122101063. The next prime is 121122122101121. The reversal of 121122122101100 is 1101221221121.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2251313660 + ... + 2251367459.

It is an arithmetic number, because the mean of its divisors is an integer number (7328113522800).

Almost surely, 2^{121122122101100} is an apocalyptic number.

121122122101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122122101100 is an abundant number, since it is smaller than the sum of its proper divisors (142689964719700).

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

121122122101100 is a wasteful number, since it uses less digits than its factorization.

121122122101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502681402 (or 4502681395 counting only the distinct ones).

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

Adding to 121122122101100 its reverse (1101221221121), we get a palindrome (122223343322221).

The spelling of 121122122101100 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred one thousand, one hundred".