122101331100 has 324 divisors, whose sum is σ = 419000072904. Its totient is φ = 27373032960.

The previous prime is 122101331071. The next prime is 122101331111. The reversal of 122101331100 is 1133101221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122101331100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 41290822 + ... + 41293778.

Almost surely, 2^122101331100 is an apocalyptic number.

122101331100 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 122101331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209500036452).

122101331100 is an abundant number, since it is smaller than the sum of its proper divisors (296898741804).

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

122101331100 is a wasteful number, since it uses less digits than its factorization.

122101331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3094 (or 3027 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 122101331100 its reverse (1133101221), we get a palindrome (123234432321).

The spelling of 122101331100 in words is "one hundred twenty-two billion, one hundred one million, three hundred thirty-one thousand, one hundred".