102220210125 has 72 divisors (see below), whose sum is σ = 202543843320. Its totient is φ = 49561248000.

The previous prime is 102220210111. The next prime is 102220210139. The reversal of 102220210125 is 521012022201.

It is an interprime number because it is at equal distance from previous prime (102220210111) and next prime (102220210139).

It can be written as a sum of positive squares in 4 ways, for example, as 1460309796 + 100759900329 = 38214^2 + 317427^2 .

It is not a de Polignac number, because 102220210125 - 2⁴ = 102220210109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102220210098 and 102220210107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239340 + ... + 511589.

It is an arithmetic number, because the mean of its divisors is an integer number (2813108935).

Almost surely, 2^102220210125 is an apocalyptic number.

102220210125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102220210125 is a deficient number, since it is larger than the sum of its proper divisors (100323633195).

102220210125 is a wasteful number, since it uses less digits than its factorization.

102220210125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750972 (or 750948 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 102220210125 its reverse (521012022201), we get a palindrome (623232232326).

The spelling of 102220210125 in words is "one hundred two billion, two hundred twenty million, two hundred ten thousand, one hundred twenty-five".