121120021122100 has 432 divisors, whose sum is σ = 356052100345984. Its totient is φ = 34799945241600.

The previous prime is 121120021122077. The next prime is 121120021122109. The reversal of 121120021122100 is 1221120021121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121120021122109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 807031267 + ... + 807181333.

Almost surely, 2^{121120021122100} is an apocalyptic number.

121120021122100 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 121120021122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178026050172992).

121120021122100 is an abundant number, since it is smaller than the sum of its proper divisors (234932079223884).

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

121120021122100 is a wasteful number, since it uses less digits than its factorization.

121120021122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150856 (or 150838 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 121120021122100 its reverse (1221120021121), we get a palindrome (122341141143221).

It can be divided in two parts, 121120021 and 122100, that added together give a palindrome (121242121).

The spelling of 121120021122100 in words is "one hundred twenty-one trillion, one hundred twenty billion, twenty-one million, one hundred twenty-two thousand, one hundred".