120102010020000 has 180 divisors, whose sum is σ = 426788498346210. Its totient is φ = 32027202624000.

The previous prime is 120102010019983. The next prime is 120102010020017. The reversal of 120102010020000 is 20010201021.

It is an interprime number because it is at equal distance from previous prime (120102010019983) and next prime (120102010020017).

It can be written as a sum of positive squares in 5 ways, for example, as 747346418064 + 119354663601936 = 864492^2 + 10924956^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (23) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 333436695 + ... + 333796694.

Almost surely, 2^{120102010020000} is an apocalyptic number.

120102010020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120102010020000 is an abundant number, since it is smaller than the sum of its proper divisors (306686488326210).

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

120102010020000 is an equidigital number, since it uses as much as digits as its factorization.

120102010020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667233425 (or 667233399 counting only the distinct ones).

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

Adding to 120102010020000 its reverse (20010201021), we get a palindrome (120122020221021).

The spelling of 120102010020000 in words is "one hundred twenty trillion, one hundred two billion, ten million, twenty thousand".