102300001200 has 360 divisors, whose sum is σ = 362620818560. Its totient is φ = 26699673600.

The previous prime is 102300001183. The next prime is 102300001211. The reversal of 102300001200 is 2100003201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×102300001200³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48969756 + ... + 48971844.

Almost surely, 2^102300001200 is an apocalyptic number.

102300001200 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 102300001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181310409280).

102300001200 is an abundant number, since it is smaller than the sum of its proper divisors (260320817360).

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

102300001200 is a wasteful number, since it uses less digits than its factorization.

102300001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 102300001200 its reverse (2100003201), we get a palindrome (104400004401).

The spelling of 102300001200 in words is "one hundred two billion, three hundred million, one thousand, two hundred".