121110000100 has 36 divisors (see below), whose sum is σ = 271871075700. Its totient is φ = 46773516160.

The previous prime is 121110000091. The next prime is 121110000103. The reversal of 121110000100 is 1000011121.

It can be written as a sum of positive squares in 6 ways, for example, as 1969051876 + 119140948224 = 44374^2 + 345168^2 .

It is not an unprimeable number, because it can be changed into a prime (121110000103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20878135 + ... + 20883934.

It is an arithmetic number, because the mean of its divisors is an integer number (7551974325).

Almost surely, 2^121110000100 is an apocalyptic number.

121110000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121110000100 is an abundant number, since it is smaller than the sum of its proper divisors (150761075600).

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

121110000100 is a wasteful number, since it uses less digits than its factorization.

121110000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41762112 (or 41762105 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 121110000100 its reverse (1000011121), we get a palindrome (122110011221).

The spelling of 121110000100 in words is "one hundred twenty-one billion, one hundred ten million, one hundred", and thus it is an aban number.