10220022122112 has 256 divisors, whose sum is σ = 33142120704000. Its totient is φ = 3074694405120.

The previous prime is 10220022122083. The next prime is 10220022122161. The reversal of 10220022122112 is 21122122002201.

It is a happy number.

10220022122112 is a `hidden beast` number, since 1 + 0 + 220 + 0 + 221 + 221 + 1 + 2 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4317193 + ... + 6251255.

It is an arithmetic number, because the mean of its divisors is an integer number (129461409000).

Almost surely, 2^{10220022122112} is an apocalyptic number.

10220022122112 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 10220022122112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16571060352000).

10220022122112 is an abundant number, since it is smaller than the sum of its proper divisors (22922098581888).

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

10220022122112 is a wasteful number, since it uses less digits than its factorization.

10220022122112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934236 (or 1934218 counting only the distinct ones).

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

Adding to 10220022122112 its reverse (21122122002201), we get a palindrome (31342144124313).

The spelling of 10220022122112 in words is "ten trillion, two hundred twenty billion, twenty-two million, one hundred twenty-two thousand, one hundred twelve".