210000100000122 has 80 divisors (see below), whose sum is σ = 473229648355464. Its totient is φ = 69602388912000.

The previous prime is 210000100000121. The next prime is 210000100000133. The reversal of 210000100000122 is 221000001000012.

It can be written as a sum of positive squares in 4 ways, for example, as 130908585857841 + 79091514142281 = 11441529^2 + 8893341^2 .

It is a super-2 number, since 2×210000100000122² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (210000100000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 187718872 + ... + 188834252.

Almost surely, 2^{210000100000122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210000100000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236614824177732).

210000100000122 is an abundant number, since it is smaller than the sum of its proper divisors (263229548355342).

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

210000100000122 is a wasteful number, since it uses less digits than its factorization.

210000100000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121997 (or 1121988 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210000100000122 its reverse (221000001000012), we get a palindrome (431000101000134).

The spelling of 210000100000122 in words is "two hundred ten trillion, one hundred million, one hundred twenty-two", and thus it is an aban number.