120211113122100 has 1296 divisors, whose sum is σ = 528859038105216. Its totient is φ = 22434257664000.

The previous prime is 120211113122059. The next prime is 120211113122101. The reversal of 120211113122100 is 1221311112021.

It is a happy number.

120211113122100 is a `hidden beast` number, since 1 + 202 + 111 + 131 + 221 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120211113122101) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 233075505 + ... + 233590695.

Almost surely, 2^{120211113122100} is an apocalyptic number.

120211113122100 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 120211113122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264429519052608).

120211113122100 is an abundant number, since it is smaller than the sum of its proper divisors (408647924983116).

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

120211113122100 is a wasteful number, since it uses less digits than its factorization.

120211113122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515286 (or 515269 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 120211113122100 its reverse (1221311112021), we get a palindrome (121432424234121).

It can be divided in two parts, 120211 and 113122100, that added together give a palindrome (113242311).

The spelling of 120211113122100 in words is "one hundred twenty trillion, two hundred eleven billion, one hundred thirteen million, one hundred twenty-two thousand, one hundred".