120100021112000 has 112 divisors (see below), whose sum is σ = 297520624863072. Its totient is φ = 48024999756800.

The previous prime is 120100021111999. The next prime is 120100021112011. The reversal of 120100021112000 is 211120001021.

It is a super-2 number, since 2×120100021112000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23280494 + ... + 27967506.

Almost surely, 2^{120100021112000} is an apocalyptic number.

120100021112000 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 120100021112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148760312431536).

120100021112000 is an abundant number, since it is smaller than the sum of its proper divisors (177420603751072).

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

120100021112000 is an equidigital number, since it uses as much as digits as its factorization.

120100021112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4690243 (or 4690223 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120100021112000 its reverse (211120001021), we get a palindrome (120311141113021).

It can be divided in two parts, 120100021 and 112000, that added together give a palindrome (120212021).

The spelling of 120100021112000 in words is "one hundred twenty trillion, one hundred billion, twenty-one million, one hundred twelve thousand".