102021232200 has 192 divisors, whose sum is σ = 327974424960. Its totient is φ = 26212792320.

The previous prime is 102021232189. The next prime is 102021232211. The reversal of 102021232200 is 2232120201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102021232189) and next prime (102021232211).

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 102021232200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2264292 + ... + 2308908.

It is an arithmetic number, because the mean of its divisors is an integer number (1708200130).

Almost surely, 2^102021232200 is an apocalyptic number.

102021232200 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 102021232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163987212480).

102021232200 is an abundant number, since it is smaller than the sum of its proper divisors (225953192760).

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

102021232200 is a wasteful number, since it uses less digits than its factorization.

102021232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44776 (or 44767 counting only the distinct ones).

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

Adding to 102021232200 its reverse (2232120201), we get a palindrome (104253352401).

The spelling of 102021232200 in words is "one hundred two billion, twenty-one million, two hundred thirty-two thousand, two hundred".