120210021001000 has 128 divisors (see below), whose sum is σ = 321483553747200. Its totient is φ = 41213888467200.

The previous prime is 120210021000947. The next prime is 120210021001009. The reversal of 120210021001000 is 100120012021.

It is a super-2 number, since 2×120210021001000² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (120210021001009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 334903627 + ... + 335262373.

It is an arithmetic number, because the mean of its divisors is an integer number (2511590263650).

Almost surely, 2^{120210021001000} is an apocalyptic number.

120210021001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120210021001000 is an abundant number, since it is smaller than the sum of its proper divisors (201273532746200).

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

120210021001000 is a wasteful number, since it uses less digits than its factorization.

120210021001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406644 (or 406630 counting only the distinct ones).

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

Adding to 120210021001000 its reverse (100120012021), we get a palindrome (120310141013021).

The spelling of 120210021001000 in words is "one hundred twenty trillion, two hundred ten billion, twenty-one million, one thousand".