102200010321 has 16 divisors (see below), whose sum is σ = 145079520768. Its totient is φ = 63771206400.

The previous prime is 102200010277. The next prime is 102200010371. The reversal of 102200010321 is 123010002201.

It is not a de Polignac number, because 102200010321 - 2⁷ = 102200010193 is a prime.

It is a super-2 number, since 2×102200010321² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102200010297 and 102200010306.

It is not an unprimeable number, because it can be changed into a prime (102200010371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5526465 + ... + 5544926.

It is an arithmetic number, because the mean of its divisors is an integer number (9067470048).

Almost surely, 2^102200010321 is an apocalyptic number.

It is an amenable number.

102200010321 is a deficient number, since it is larger than the sum of its proper divisors (42879510447).

102200010321 is a wasteful number, since it uses less digits than its factorization.

102200010321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11071592.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 102200010321 its reverse (123010002201), we get a palindrome (225210012522).

The spelling of 102200010321 in words is "one hundred two billion, two hundred million, ten thousand, three hundred twenty-one".