10122022110220 has 96 divisors (see below), whose sum is σ = 22024914508800. Its totient is φ = 3902854389504.

The previous prime is 10122022110199. The next prime is 10122022110313. The reversal of 10122022110220 is 2201122022101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10122022110194 and 10122022110203.

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, 1162511107 + ... + 1162519813.

It is an arithmetic number, because the mean of its divisors is an integer number (229426192800).

Almost surely, 2^{10122022110220} is an apocalyptic number.

10122022110220 is a gapful number since it is divisible by the number (10) 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 10122022110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11012457254400).

10122022110220 is an abundant number, since it is smaller than the sum of its proper divisors (11902892398580).

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

10122022110220 is a wasteful number, since it uses less digits than its factorization.

10122022110220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11767 (or 11765 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10122022110220 its reverse (2201122022101), we get a palindrome (12323144132321).

The spelling of 10122022110220 in words is "ten trillion, one hundred twenty-two billion, twenty-two million, one hundred ten thousand, two hundred twenty".