10220122000 has 320 divisors, whose sum is σ = 28370684160. Its totient is φ = 3526656000.

The previous prime is 10220121991. The next prime is 10220122009. The reversal of 10220122000 is 22102201.

It is an interprime number because it is at equal distance from previous prime (10220121991) and next prime (10220122009).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10220122009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52953904 + ... + 52954096.

It is an arithmetic number, because the mean of its divisors is an integer number (88658388).

Almost surely, 2^10220122000 is an apocalyptic number.

10220122000 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 10220122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14185342080).

10220122000 is an abundant number, since it is smaller than the sum of its proper divisors (18150562160).

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

10220122000 is a wasteful number, since it uses less digits than its factorization.

10220122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10220122000 its reverse (22102201), we get a palindrome (10242224201).

It can be divided in two parts, 102 and 20122000, that added together give a palindrome (20122102).

The spelling of 10220122000 in words is "ten billion, two hundred twenty million, one hundred twenty-two thousand".