121122220011100 has 144 divisors (see below), whose sum is σ = 330935124796416. Its totient is φ = 37378594080000.

The previous prime is 121122220011083. The next prime is 121122220011127. The reversal of 121122220011100 is 1110022221121.

It is a super-3 number, since 3×121122220011100³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77094372 + ... + 78649771.

It is an arithmetic number, because the mean of its divisors is an integer number (2298160588864).

Almost surely, 2^{121122220011100} is an apocalyptic number.

121122220011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122220011100 is an abundant number, since it is smaller than the sum of its proper divisors (209812904785316).

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

121122220011100 is a wasteful number, since it uses less digits than its factorization.

121122220011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155744276 (or 155744269 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121122220011100 its reverse (1110022221121), we get a palindrome (122232242232221).

The spelling of 121122220011100 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, two hundred twenty million, eleven thousand, one hundred".