10200122221122 has 64 divisors (see below), whose sum is σ = 23021030515200. Its totient is φ = 3346996522320.

The previous prime is 10200122221063. The next prime is 10200122221129. The reversal of 10200122221122 is 22112222100201.

It is a happy number.

10200122221122 is a `hidden beast` number, since 1 + 0 + 200 + 122 + 221 + 122 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10200122221095 and 10200122221104.

It is not an unprimeable number, because it can be changed into a prime (10200122221129) 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 31 ways as a sum of consecutive naturals, for example, 4312497 + ... + 6244827.

It is an arithmetic number, because the mean of its divisors is an integer number (359703601800).

Almost surely, 2^{10200122221122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200122221122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11510515257600).

10200122221122 is an abundant number, since it is smaller than the sum of its proper divisors (12820908294078).

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

10200122221122 is a wasteful number, since it uses less digits than its factorization.

10200122221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933868 (or 1933862 counting only the distinct ones).

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

Adding to 10200122221122 its reverse (22112222100201), we get a palindrome (32312344321323).

The spelling of 10200122221122 in words is "ten trillion, two hundred billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty-two".