10002121220 has 192 divisors, whose sum is σ = 26360463360. Its totient is φ = 3103930368.

The previous prime is 10002121153. The next prime is 10002121223. The reversal of 10002121220 is 2212120001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10002121223) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25194062 + ... + 25194458.

It is an arithmetic number, because the mean of its divisors is an integer number (137294080).

Almost surely, 2^10002121220 is an apocalyptic number.

10002121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10002121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13180231680).

10002121220 is an abundant number, since it is smaller than the sum of its proper divisors (16358342140).

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

10002121220 is a wasteful number, since it uses less digits than its factorization.

10002121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10002121220 its reverse (2212120001), we get a palindrome (12214241221).

The spelling of 10002121220 in words is "ten billion, two million, one hundred twenty-one thousand, two hundred twenty".