122010410311100 has 72 divisors (see below), whose sum is σ = 266098176960000. Its totient is φ = 48558113553600.

The previous prime is 122010410310953. The next prime is 122010410311103. The reversal of 122010410311100 is 1113014010221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122010410311103) 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 23 ways as a sum of consecutive naturals, for example, 68732501 + ... + 70485299.

Almost surely, 2^{122010410311100} is an apocalyptic number.

122010410311100 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 122010410311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133049088480000).

122010410311100 is an abundant number, since it is smaller than the sum of its proper divisors (144087766648900).

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

122010410311100 is a wasteful number, since it uses less digits than its factorization.

122010410311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1756323 (or 1756316 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 122010410311100 its reverse (1113014010221), we get a palindrome (123123424321321).

The spelling of 122010410311100 in words is "one hundred twenty-two trillion, ten billion, four hundred ten million, three hundred eleven thousand, one hundred".