121255555112100 has 108 divisors (see below), whose sum is σ = 380202966786916. Its totient is φ = 32323400386560.

The previous prime is 121255555112089. The next prime is 121255555112101. The reversal of 121255555112100 is 1211555552121.

121255555112100 is a `hidden beast` number, since 1 + 2 + 125 + 5 + 5 + 5 + 511 + 2 + 10 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14565702782016 + 106689852330084 = 3816504^2 + 10329078^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (121255555112101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21228697 + ... + 26328096.

Almost surely, 2^{121255555112100} is an apocalyptic number.

121255555112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121255555112100 is an abundant number, since it is smaller than the sum of its proper divisors (258947411674816).

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

121255555112100 is a wasteful number, since it uses less digits than its factorization.

121255555112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47559646 (or 47559636 counting only the distinct ones).

The product of its (nonzero) digits is 25000, while the sum is 36.

The spelling of 121255555112100 in words is "one hundred twenty-one trillion, two hundred fifty-five billion, five hundred fifty-five million, one hundred twelve thousand, one hundred".