121221021011100 has 144 divisors (see below), whose sum is σ = 357025103930880. Its totient is φ = 31749134009600.

The previous prime is 121221021011087. The next prime is 121221021011119. The reversal of 121221021011100 is 1110120122121.

It is a happy number.

121221021011100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 121221021011100.

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, 5217735 + ... + 16421534.

It is an arithmetic number, because the mean of its divisors is an integer number (2479340999520).

Almost surely, 2^{121221021011100} is an apocalyptic number.

121221021011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121221021011100 is an abundant number, since it is smaller than the sum of its proper divisors (235804082919780).

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

121221021011100 is a wasteful number, since it uses less digits than its factorization.

121221021011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21639620 (or 21639613 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 121221021011100 its reverse (1110120122121), we get a palindrome (122331141133221).

The spelling of 121221021011100 in words is "one hundred twenty-one trillion, two hundred twenty-one billion, twenty-one million, eleven thousand, one hundred".