102122201100 has 288 divisors, whose sum is σ = 328703961600. Its totient is φ = 24347586560.

The previous prime is 102122201059. The next prime is 102122201101. The reversal of 102122201100 is 1102221201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (102122201101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17474779 + ... + 17480621.

It is an arithmetic number, because the mean of its divisors is an integer number (1141333200).

Almost surely, 2^102122201100 is an apocalyptic number.

102122201100 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 102122201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164351980800).

102122201100 is an abundant number, since it is smaller than the sum of its proper divisors (226581760500).

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

102122201100 is a wasteful number, since it uses less digits than its factorization.

102122201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6049 (or 6042 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102122201100 its reverse (1102221201), we get a palindrome (103224422301).

The spelling of 102122201100 in words is "one hundred two billion, one hundred twenty-two million, two hundred one thousand, one hundred".