102202111211200 has 2016 divisors, whose sum is σ = 361782064465920. Its totient is φ = 27572244480000.

The previous prime is 102202111211113. The next prime is 102202111211287. The reversal of 102202111211200 is 2112111202201.

It is an interprime number because it is at equal distance from previous prime (102202111211113) and next prime (102202111211287).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33808172889 + ... + 33808175911.

It is an arithmetic number, because the mean of its divisors is an integer number (179455389120).

Almost surely, 2^{102202111211200} is an apocalyptic number.

102202111211200 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 102202111211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180891032232960).

102202111211200 is an abundant number, since it is smaller than the sum of its proper divisors (259579953254720).

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

102202111211200 is a wasteful number, since it uses less digits than its factorization.

102202111211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3207 (or 3181 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102202111211200 its reverse (2112111202201), we get a palindrome (104314222413401).

It can be divided in two parts, 1022021 and 11211200, that added together give a palindrome (12233221).

The spelling of 102202111211200 in words is "one hundred two trillion, two hundred two billion, one hundred eleven million, two hundred eleven thousand, two hundred".