102201101121100 has 144 divisors (see below), whose sum is σ = 235379574743040. Its totient is φ = 38433997888000.

The previous prime is 102201101121089. The next prime is 102201101121103. The reversal of 102201101121100 is 1121101102201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102201101121103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 878327925 + ... + 878444275.

It is an arithmetic number, because the mean of its divisors is an integer number (1634580380160).

Almost surely, 2^{102201101121100} is an apocalyptic number.

102201101121100 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 102201101121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117689787371520).

102201101121100 is an abundant number, since it is smaller than the sum of its proper divisors (133178473621940).

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

102201101121100 is a wasteful number, since it uses less digits than its factorization.

102201101121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122920 (or 122913 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102201101121100 its reverse (1121101102201), we get a palindrome (103322202223301).

The spelling of 102201101121100 in words is "one hundred two trillion, two hundred one billion, one hundred one million, one hundred twenty-one thousand, one hundred".