102300201000 has 96 divisors (see below), whose sum is σ = 345774709800. Its totient is φ = 27280051200.

The previous prime is 102300200999. The next prime is 102300201007. The reversal of 102300201000 is 102003201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 6146873604 + 96153327396 = 78402^2 + 310086^2 .

It is a super-2 number, since 2×102300201000² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102300201007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5674345 + ... + 5692344.

Almost surely, 2^102300201000 is an apocalyptic number.

102300201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102300201000 is an abundant number, since it is smaller than the sum of its proper divisors (243474508800).

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

102300201000 is a wasteful number, since it uses less digits than its factorization.

102300201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11366716 (or 11366699 counting only the distinct ones).

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

Adding to 102300201000 its reverse (102003201), we get a palindrome (102402204201).

The spelling of 102300201000 in words is "one hundred two billion, three hundred million, two hundred one thousand".