102200331 has 16 divisors (see below), whose sum is σ = 141966720. Its totient is φ = 65340480.

The previous prime is 102200309. The next prime is 102200341. The reversal of 102200331 is 133002201.

It is a happy number.

It is not a de Polignac number, because 102200331 - 2⁹ = 102199819 is a prime.

It is a super-2 number, since 2×102200331² = 20889815313019122, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102200341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216 + ... + 14298.

It is an arithmetic number, because the mean of its divisors is an integer number (8872920).

Almost surely, 2^102200331 is an apocalyptic number.

102200331 is a deficient number, since it is larger than the sum of its proper divisors (39766389).

102200331 is a wasteful number, since it uses less digits than its factorization.

102200331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14186.

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

The square root of 102200331 is about 10109.4179357666. The cubic root of 102200331 is about 467.5385591653.

Adding to 102200331 its reverse (133002201), we get a palindrome (235202532).

The spelling of 102200331 in words is "one hundred two million, two hundred thousand, three hundred thirty-one".