121442133144100 has 144 divisors (see below), whose sum is σ = 265403714075136. Its totient is φ = 48232679040000.

The previous prime is 121442133144089. The next prime is 121442133144203. The reversal of 121442133144100 is 1441331244121.

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, 14647460955 + ... + 14647469245.

It is an arithmetic number, because the mean of its divisors is an integer number (1843081347744).

Almost surely, 2^{121442133144100} is an apocalyptic number.

121442133144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121442133144100 is an abundant number, since it is smaller than the sum of its proper divisors (143961580931036).

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

121442133144100 is a wasteful number, since it uses less digits than its factorization.

121442133144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10166 (or 10159 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

Adding to 121442133144100 its reverse (1441331244121), we get a palindrome (122883464388221).

The spelling of 121442133144100 in words is "one hundred twenty-one trillion, four hundred forty-two billion, one hundred thirty-three million, one hundred forty-four thousand, one hundred".