10222122200112 has 120 divisors (see below), whose sum is σ = 29382368183376. Its totient is φ = 3315120265728.

The previous prime is 10222122200107. The next prime is 10222122200117. The reversal of 10222122200112 is 21100222122201.

It is a happy number.

10222122200112 is a `hidden beast` number, since 10 + 222 + 122 + 200 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (10222122200107) and next prime (10222122200117).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10222122200117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159099258 + ... + 159163494.

Almost surely, 2^{10222122200112} is an apocalyptic number.

10222122200112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10222122200112 is an abundant number, since it is smaller than the sum of its proper divisors (19160245983264).

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

10222122200112 is a wasteful number, since it uses less digits than its factorization.

10222122200112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94155 (or 94146 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10222122200112 its reverse (21100222122201), we get a palindrome (31322344322313).

The spelling of 10222122200112 in words is "ten trillion, two hundred twenty-two billion, one hundred twenty-two million, two hundred thousand, one hundred twelve".