201100120110120 has 576 divisors, whose sum is σ = 779036102006400. Its totient is φ = 41373290112000.

The previous prime is 201100120110023. The next prime is 201100120110143. The reversal of 201100120110120 is 21011021001102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201100120110096 and 201100120110105.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70460221 + ... + 73258739.

It is an arithmetic number, because the mean of its divisors is an integer number (1352493232650).

Almost surely, 2^{201100120110120} is an apocalyptic number.

201100120110120 is a gapful number since it is divisible by the number (20) 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 201100120110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389518051003200).

201100120110120 is an abundant number, since it is smaller than the sum of its proper divisors (577935981896280).

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

201100120110120 is a wasteful number, since it uses less digits than its factorization.

201100120110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798670 (or 2798648 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201100120110120 its reverse (21011021001102), we get a palindrome (222111141111222).

The spelling of 201100120110120 in words is "two hundred one trillion, one hundred billion, one hundred twenty million, one hundred ten thousand, one hundred twenty".