102220202101200 has 240 divisors, whose sum is σ = 331822478002176. Its totient is φ = 26896372160000.

The previous prime is 102220202101169. The next prime is 102220202101247. The reversal of 102220202101200 is 2101202022201.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×102220202101200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102220202101200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30642529 + ... + 33814271.

Almost surely, 2^{102220202101200} is an apocalyptic number.

102220202101200 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 102220202101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165911239001088).

102220202101200 is an abundant number, since it is smaller than the sum of its proper divisors (229602275900976).

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

102220202101200 is a wasteful number, since it uses less digits than its factorization.

102220202101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172122 (or 3172111 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102220202101200 its reverse (2101202022201), we get a palindrome (104321404123401).

The spelling of 102220202101200 in words is "one hundred two trillion, two hundred twenty billion, two hundred two million, one hundred one thousand, two hundred".