120010101000120 has 256 divisors, whose sum is σ = 406985432515200. Its totient is φ = 31447568977920.

The previous prime is 120010101000103. The next prime is 120010101000121. The reversal of 120010101000120 is 21000101010021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120010101000121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67172314 + ... + 68935766.

Almost surely, 2^{120010101000120} is an apocalyptic number.

120010101000120 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 120010101000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203492716257600).

120010101000120 is an abundant number, since it is smaller than the sum of its proper divisors (286975331515080).

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

120010101000120 is a wasteful number, since it uses less digits than its factorization.

120010101000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764567 (or 1764557 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120010101000120 its reverse (21000101010021), we get a palindrome (141010202010141).

Subtracting from 120010101000120 its reverse (21000101010021), we obtain a palindrome (99009999990099).

It can be divided in two parts, 1200101010001 and 20, that added together give a palindrome (1200101010021).

The spelling of 120010101000120 in words is "one hundred twenty trillion, ten billion, one hundred one million, one hundred twenty", and thus it is an aban number.