120211211121100 has 288 divisors, whose sum is σ = 293019712413120. Its totient is φ = 42440785920000.

The previous prime is 120211211121059. The next prime is 120211211121109. The reversal of 120211211121100 is 1121112112021.

It is not an unprimeable number, because it can be changed into a prime (120211211121109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1174609132 + ... + 1174711468.

It is an arithmetic number, because the mean of its divisors is an integer number (1017429556990).

Almost surely, 2^{120211211121100} is an apocalyptic number.

120211211121100 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 120211211121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146509856206560).

120211211121100 is an abundant number, since it is smaller than the sum of its proper divisors (172808501292020).

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

120211211121100 is a wasteful number, since it uses less digits than its factorization.

120211211121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102669 (or 102662 counting only the distinct ones).

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

Adding to 120211211121100 its reverse (1121112112021), we get a palindrome (121332323233121).

The spelling of 120211211121100 in words is "one hundred twenty trillion, two hundred eleven billion, two hundred eleven million, one hundred twenty-one thousand, one hundred".