10002120101220 has 48 divisors (see below), whose sum is σ = 30160239076800. Its totient is φ = 2462060332416.

The previous prime is 10002120101209. The next prime is 10002120101261. The reversal of 10002120101220 is 2210102120001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10002120101196 and 10002120101205.

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 15 ways as a sum of consecutive naturals, for example, 6411614670 + ... + 6411616229.

It is an arithmetic number, because the mean of its divisors is an integer number (628338314100).

Almost surely, 2^{10002120101220} is an apocalyptic number.

10002120101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002120101220 is an abundant number, since it is smaller than the sum of its proper divisors (20158118975580).

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

10002120101220 is a wasteful number, since it uses less digits than its factorization.

10002120101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12823230924 (or 12823230922 counting only the distinct ones).

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

Adding to 10002120101220 its reverse (2210102120001), we get a palindrome (12212222221221).

The spelling of 10002120101220 in words is "ten trillion, two billion, one hundred twenty million, one hundred one thousand, two hundred twenty".