10202122122112 has 32 divisors (see below), whose sum is σ = 20429848712880. Its totient is φ = 5074630680576.

The previous prime is 10202122122103. The next prime is 10202122122187. The reversal of 10202122122112 is 21122122120201.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10202122122112.

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 3 ways as a sum of consecutive naturals, for example, 206462548 + ... + 206511955.

Almost surely, 2^{10202122122112} is an apocalyptic number.

It is an amenable number.

10202122122112 is an abundant number, since it is smaller than the sum of its proper divisors (10227726590768).

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

10202122122112 is an equidigital number, since it uses as much as digits as its factorization.

10202122122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412974710 (or 412974698 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10202122122112 its reverse (21122122120201), we get a palindrome (31324244242313).

The spelling of 10202122122112 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".