120101010201120 has 768 divisors, whose sum is σ = 425236147273728. Its totient is φ = 28292857528320.

The previous prime is 120101010201061. The next prime is 120101010201149. The reversal of 120101010201120 is 21102010101021.

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 = 120101010201096 and 120101010201105.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10120581427 + ... + 10120593293.

It is an arithmetic number, because the mean of its divisors is an integer number (553692900096).

Almost surely, 2^{120101010201120} is an apocalyptic number.

120101010201120 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 120101010201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212618073636864).

120101010201120 is an abundant number, since it is smaller than the sum of its proper divisors (305135137072608).

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

120101010201120 is a wasteful number, since it uses less digits than its factorization.

120101010201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12505 (or 12497 counting only the distinct ones).

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

Adding to 120101010201120 its reverse (21102010101021), we get a palindrome (141203020302141).

The spelling of 120101010201120 in words is "one hundred twenty trillion, one hundred one billion, ten million, two hundred one thousand, one hundred twenty".