10102222122112 has 32 divisors (see below), whose sum is σ = 20209727894400. Its totient is φ = 5029976689920.

The previous prime is 10102222122107. The next prime is 10102222122119. The reversal of 10102222122112 is 21122122220101.

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 10102222122112.

It is not an unprimeable number, because it can be changed into a prime (10102222122119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 165081564 + ... + 165142747.

It is an arithmetic number, because the mean of its divisors is an integer number (631553996700).

Almost surely, 2^{10102222122112} is an apocalyptic number.

It is an amenable number.

10102222122112 is an abundant number, since it is smaller than the sum of its proper divisors (10107505772288).

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

10102222122112 is an equidigital number, since it uses as much as digits as its factorization.

10102222122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330224564 (or 330224552 counting only the distinct ones).

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

Adding to 10102222122112 its reverse (21122122220101), we get a palindrome (31224344342213).

The spelling of 10102222122112 in words is "ten trillion, one hundred two billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred twelve".