201100332121120 has 48 divisors (see below), whose sum is σ = 477845774786520. Its totient is φ = 79975160971264.

The previous prime is 201100332121093. The next prime is 201100332121133. The reversal of 201100332121120 is 21121233001102.

It can be written as a sum of positive squares in 4 ways, for example, as 195053513416336 + 6046818704784 = 13966156^2 + 2459028^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3632565025 + ... + 3632620384.

Almost surely, 2^{201100332121120} is an apocalyptic number.

201100332121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201100332121120 is an abundant number, since it is smaller than the sum of its proper divisors (276745442665400).

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

201100332121120 is a wasteful number, since it uses less digits than its factorization.

201100332121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7265185597 (or 7265185589 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 201100332121120 its reverse (21121233001102), we get a palindrome (222221565122222).

The spelling of 201100332121120 in words is "two hundred one trillion, one hundred billion, three hundred thirty-two million, one hundred twenty-one thousand, one hundred twenty".