122541332100 has 288 divisors, whose sum is σ = 393094840320. Its totient is φ = 29225856000.

The previous prime is 122541332099. The next prime is 122541332119. The reversal of 122541332100 is 1233145221.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65494165 + ... + 65496035.

It is an arithmetic number, because the mean of its divisors is an integer number (1364912640).

Almost surely, 2^122541332100 is an apocalyptic number.

122541332100 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 122541332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196547420160).

122541332100 is an abundant number, since it is smaller than the sum of its proper divisors (270553508220).

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

122541332100 is a wasteful number, since it uses less digits than its factorization.

122541332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 122541332100 its reverse (1233145221), we get a palindrome (123774477321).

The spelling of 122541332100 in words is "one hundred twenty-two billion, five hundred forty-one million, three hundred thirty-two thousand, one hundred".