102002022103200 has 288 divisors, whose sum is σ = 332948425186944. Its totient is φ = 27124237578240.

The previous prime is 102002022103193. The next prime is 102002022103243. The reversal of 102002022103200 is 2301220200201.

It is a happy number.

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 102002022103200.

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, 3817856242 + ... + 3817882958.

It is an arithmetic number, because the mean of its divisors is an integer number (1156070920788).

Almost surely, 2^{102002022103200} is an apocalyptic number.

102002022103200 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 102002022103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166474212593472).

102002022103200 is an abundant number, since it is smaller than the sum of its proper divisors (230946403083744).

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

102002022103200 is a wasteful number, since it uses less digits than its factorization.

102002022103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31144 (or 31131 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102002022103200 its reverse (2301220200201), we get a palindrome (104303242303401).

The spelling of 102002022103200 in words is "one hundred two trillion, two billion, twenty-two million, one hundred three thousand, two hundred".