120010201002000 has 480 divisors, whose sum is σ = 431483994399744. Its totient is φ = 31065462144000.

The previous prime is 120010201001981. The next prime is 120010201002053. The reversal of 120010201002000 is 200102010021.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 286836957 + ... + 287255043.

Almost surely, 2^{120010201002000} is an apocalyptic number.

120010201002000 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 120010201002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215741997199872).

120010201002000 is an abundant number, since it is smaller than the sum of its proper divisors (311473793397744).

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

120010201002000 is a wasteful number, since it uses less digits than its factorization.

120010201002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418584 (or 418565 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120010201002000 its reverse (200102010021), we get a palindrome (120210303012021).

The spelling of 120010201002000 in words is "one hundred twenty trillion, ten billion, two hundred one million, two thousand".