10202222002112 has 168 divisors, whose sum is σ = 24330790015488. Its totient is φ = 4227723763200.

The previous prime is 10202222002103. The next prime is 10202222002123. The reversal of 10202222002112 is 21120022220201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115351187 + ... + 115439597.

Almost surely, 2^{10202222002112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10202222002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12165395007744).

10202222002112 is an abundant number, since it is smaller than the sum of its proper divisors (14128568013376).

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

10202222002112 is a wasteful number, since it uses less digits than its factorization.

10202222002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89655 (or 89638 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10202222002112 its reverse (21120022220201), we get a palindrome (31322244222313).

The spelling of 10202222002112 in words is "ten trillion, two hundred two billion, two hundred twenty-two million, two thousand, one hundred twelve".