10002120220 has 48 divisors (see below), whose sum is σ = 22119703200. Its totient is φ = 3788605440.

The previous prime is 10002120157. The next prime is 10002120283. The reversal of 10002120220 is 2202120001.

It is an interprime number because it is at equal distance from previous prime (10002120157) and next prime (10002120283).

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

It is a junction number, because it is equal to n+sod(n) for n = 10002120197 and 10002120206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1169560 + ... + 1178080.

It is an arithmetic number, because the mean of its divisors is an integer number (460827150).

Almost surely, 2^10002120220 is an apocalyptic number.

10002120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002120220 is an abundant number, since it is smaller than the sum of its proper divisors (12117582980).

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

10002120220 is a wasteful number, since it uses less digits than its factorization.

10002120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11638 (or 11636 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10002120220 its reverse (2202120001), we get a palindrome (12204240221).

The spelling of 10002120220 in words is "ten billion, two million, one hundred twenty thousand, two hundred twenty".