10002122112 has 64 divisors (see below), whose sum is σ = 26831291760. Its totient is φ = 3301017600.

The previous prime is 10002122111. The next prime is 10002122147. The reversal of 10002122112 is 21122120001.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002122111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90163 + ... + 167730.

Almost surely, 2^10002122112 is an apocalyptic number.

10002122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10002122112 is an abundant number, since it is smaller than the sum of its proper divisors (16829169648).

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

10002122112 is a wasteful number, since it uses less digits than its factorization.

10002122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258011 (or 257999 counting only the distinct ones).

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

Adding to 10002122112 its reverse (21122120001), we get a palindrome (31124242113).

The spelling of 10002122112 in words is "ten billion, two million, one hundred twenty-two thousand, one hundred twelve".