102201334200 has 192 divisors, whose sum is σ = 402316512000. Its totient is φ = 23360296320.

The previous prime is 102201334163. The next prime is 102201334237. The reversal of 102201334200 is 2433102201.

102201334200 is a `hidden beast` number, since 10 + 2 + 201 + 33 + 420 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102201334163) and next prime (102201334237).

It is a super-2 number, since 2×102201334200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1314070 + ... + 1389669.

It is an arithmetic number, because the mean of its divisors is an integer number (2095398500).

Almost surely, 2^102201334200 is an apocalyptic number.

102201334200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201334200 is an abundant number, since it is smaller than the sum of its proper divisors (300115177800).

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

102201334200 is a wasteful number, since it uses less digits than its factorization.

102201334200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703771 (or 2703756 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 102201334200 its reverse (2433102201), we get a palindrome (104634436401).

The spelling of 102201334200 in words is "one hundred two billion, two hundred one million, three hundred thirty-four thousand, two hundred".