10002102222012 has 96 divisors (see below), whose sum is σ = 25315905162240. Its totient is φ = 3061123553280.

The previous prime is 10002102222011. The next prime is 10002102222023. The reversal of 10002102222012 is 21022220120001.

It is a junction number, because it is equal to n+sod(n) for n = 10002102221982 and 10002102222000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002102222011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115873533 + ... + 115959819.

It is an arithmetic number, because the mean of its divisors is an integer number (263707345440).

Almost surely, 2^{10002102222012} is an apocalyptic number.

10002102222012 is a gapful number since it is divisible by the number (12) 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 10002102222012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657952581120).

10002102222012 is an abundant number, since it is smaller than the sum of its proper divisors (15313802940228).

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

10002102222012 is a wasteful number, since it uses less digits than its factorization.

10002102222012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100211 (or 100209 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10002102222012 its reverse (21022220120001), we get a palindrome (31024322342013).

The spelling of 10002102222012 in words is "ten trillion, two billion, one hundred two million, two hundred twenty-two thousand, twelve".