102300003201 has 16 divisors (see below), whose sum is σ = 149579071488. Its totient is φ = 61675390800.

The previous prime is 102300003161. The next prime is 102300003209.

It is a happy number.

102300003201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102300003201 - 2⁶ = 102300003137 is a prime.

It is a super-2 number, since 2×102300003201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102300003209) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8108881 + ... + 8121486.

It is an arithmetic number, because the mean of its divisors is an integer number (9348691968).

Almost surely, 2^102300003201 is an apocalyptic number.

102300003201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102300003201 is a deficient number, since it is larger than the sum of its proper divisors (47279068287).

102300003201 is a wasteful number, since it uses less digits than its factorization.

102300003201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16230572.

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 10230000 and 3201, that added together give a palindrome (10233201).

The spelling of 102300003201 in words is "one hundred two billion, three hundred million, three thousand, two hundred one".