10002212120 has 64 divisors (see below), whose sum is σ = 22918464000. Its totient is φ = 3927950208.

The previous prime is 10002212111. The next prime is 10002212131. The reversal of 10002212120 is 2121220001.

It is a happy number.

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, 556799 + ... + 574481.

It is an arithmetic number, because the mean of its divisors is an integer number (358101000).

Almost surely, 2^10002212120 is an apocalyptic number.

10002212120 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 10002212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11459232000).

10002212120 is an abundant number, since it is smaller than the sum of its proper divisors (12916251880).

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

10002212120 is a wasteful number, since it uses less digits than its factorization.

10002212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17952 (or 17948 counting only the distinct ones).

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

Adding to 10002212120 its reverse (2121220001), we get a palindrome (12123432121).

The spelling of 10002212120 in words is "ten billion, two million, two hundred twelve thousand, one hundred twenty".