10002120120220 has 48 divisors (see below), whose sum is σ = 21246297045120. Its totient is φ = 3955026758144.

The previous prime is 10002120120217. The next prime is 10002120120221. The reversal of 10002120120220 is 2202102120001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002120120220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002120120221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6981979 + ... + 8291698.

It is an arithmetic number, because the mean of its divisors is an integer number (442631188440).

Almost surely, 2^{10002120120220} is an apocalyptic number.

10002120120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002120120220 is an abundant number, since it is smaller than the sum of its proper divisors (11244176924900).

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

10002120120220 is a wasteful number, since it uses less digits than its factorization.

10002120120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15274062 (or 15274060 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10002120120220 its reverse (2202102120001), we get a palindrome (12204222240221).

The spelling of 10002120120220 in words is "ten trillion, two billion, one hundred twenty million, one hundred twenty thousand, two hundred twenty".