120120201112100 has 144 divisors (see below), whose sum is σ = 301500671472000. Its totient is φ = 40686061701120.

The previous prime is 120120201112081. The next prime is 120120201112127. The reversal of 120120201112100 is 1211102021021.

It is a super-2 number, since 2×120120201112100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2243156126 + ... + 2243209674.

It is an arithmetic number, because the mean of its divisors is an integer number (2093754663000).

Almost surely, 2^{120120201112100} is an apocalyptic number.

120120201112100 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 120120201112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150750335736000).

120120201112100 is an abundant number, since it is smaller than the sum of its proper divisors (181380470359900).

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

120120201112100 is a wasteful number, since it uses less digits than its factorization.

120120201112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92262 (or 92255 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 120120201112100 its reverse (1211102021021), we get a palindrome (121331303133121).

The spelling of 120120201112100 in words is "one hundred twenty trillion, one hundred twenty billion, two hundred one million, one hundred twelve thousand, one hundred".