120010210210000 has 400 divisors, whose sum is σ = 336177896237568. Its totient is φ = 41004288000000.

The previous prime is 120010210209977. The next prime is 120010210210027. The reversal of 120010210210000 is 12012010021.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 1123816609 + ... + 1123923391.

Almost surely, 2^{120010210210000} is an apocalyptic number.

120010210210000 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 120010210210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168088948118784).

120010210210000 is an abundant number, since it is smaller than the sum of its proper divisors (216167686027568).

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

120010210210000 is a wasteful number, since it uses less digits than its factorization.

120010210210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107440 (or 107419 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120010210210000 its reverse (12012010021), we get a palindrome (120022222220021).

The spelling of 120010210210000 in words is "one hundred twenty trillion, ten billion, two hundred ten million, two hundred ten thousand".