22102012010120 has 128 divisors (see below), whose sum is σ = 57118497891840. Its totient is φ = 7539958947840.

The previous prime is 22102012010119. The next prime is 22102012010153. The reversal of 22102012010120 is 2101021020122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22102012010095 and 22102012010104.

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, 45322709 + ... + 45807771.

It is an arithmetic number, because the mean of its divisors is an integer number (446238264780).

Almost surely, 2^{22102012010120} is an apocalyptic number.

22102012010120 is a gapful number since it is divisible by the number (20) 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 22102012010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28559248945920).

22102012010120 is an abundant number, since it is smaller than the sum of its proper divisors (35016485881720).

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

22102012010120 is a wasteful number, since it uses less digits than its factorization.

22102012010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485895 (or 485891 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22102012010120 its reverse (2101021020122), we get a palindrome (24203033030242).

The spelling of 22102012010120 in words is "twenty-two trillion, one hundred two billion, twelve million, ten thousand, one hundred twenty".