102221220201100 has 288 divisors, whose sum is σ = 298571147223552. Its totient is φ = 29336947200000.

The previous prime is 102221220201091. The next prime is 102221220201101. The reversal of 102221220201100 is 1102022122201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102221220201101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38866795 + ... + 41413405.

It is an arithmetic number, because the mean of its divisors is an integer number (1036705372304).

Almost surely, 2^{102221220201100} is an apocalyptic number.

102221220201100 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 102221220201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149285573611776).

102221220201100 is an abundant number, since it is smaller than the sum of its proper divisors (196349927022452).

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

102221220201100 is a wasteful number, since it uses less digits than its factorization.

102221220201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547057 (or 2547050 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102221220201100 its reverse (1102022122201), we get a palindrome (103323242323301).

The spelling of 102221220201100 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred twenty million, two hundred one thousand, one hundred".