121020011100 has 108 divisors (see below), whose sum is σ = 380287116664. Its totient is φ = 32190618240.

The previous prime is 121020011017. The next prime is 121020011117. The reversal of 121020011100 is 1110020121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187947 + ... + 526653.

Almost surely, 2^121020011100 is an apocalyptic number.

121020011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121020011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190143558332).

121020011100 is an abundant number, since it is smaller than the sum of its proper divisors (259267105564).

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

121020011100 is a wasteful number, since it uses less digits than its factorization.

121020011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339124 (or 339114 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121020011100 its reverse (1110020121), we get a palindrome (122130031221).

The spelling of 121020011100 in words is "one hundred twenty-one billion, twenty million, eleven thousand, one hundred".