120002210021001 has 192 divisors, whose sum is σ = 211759941427200. Its totient is φ = 58715297625600.

The previous prime is 120002210020997. The next prime is 120002210021053. The reversal of 120002210021001 is 100120012200021.

It is not a de Polignac number, because 120002210021001 - 2² = 120002210020997 is a prime.

It is a super-3 number, since 3×120002210021001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (120002210021501) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13174022235 + ... + 13174031343.

It is an arithmetic number, because the mean of its divisors is an integer number (1102916361600).

Almost surely, 2^{120002210021001} is an apocalyptic number.

120002210021001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120002210021001 is a deficient number, since it is larger than the sum of its proper divisors (91757731406199).

120002210021001 is a wasteful number, since it uses less digits than its factorization.

120002210021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10068 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 120002210021001 its reverse (100120012200021), we get a palindrome (220122222221022).

The spelling of 120002210021001 in words is "one hundred twenty trillion, two billion, two hundred ten million, twenty-one thousand, one".