121122111221100 has 288 divisors, whose sum is σ = 438486515066880. Its totient is φ = 28415744352000.

The previous prime is 121122111221081. The next prime is 121122111221141. The reversal of 121122111221100 is 1122111221121.

It is a happy number.

121122111221100 is a `hidden beast` number, since 1 + 211 + 22 + 111 + 221 + 100 = 666.

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 95 ways as a sum of consecutive naturals, for example, 64856487 + ... + 66697886.

It is an arithmetic number, because the mean of its divisors is an integer number (1522522621760).

Almost surely, 2^{121122111221100} is an apocalyptic number.

121122111221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122111221100 is an abundant number, since it is smaller than the sum of its proper divisors (317364403845780).

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

121122111221100 is a wasteful number, since it uses less digits than its factorization.

121122111221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131554438 (or 131554425 counting only the distinct ones).

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

Adding to 121122111221100 its reverse (1122111221121), we get a palindrome (122244222442221).

The spelling of 121122111221100 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred eleven million, two hundred twenty-one thousand, one hundred".