102502107150201 has 36 divisors (see below), whose sum is σ = 162744152086516. Its totient is φ = 62121704578560.

The previous prime is 102502107150199. The next prime is 102502107150253. The reversal of 102502107150201 is 102051701205201.

102502107150201 is a `hidden beast` number, since 1 + 0 + 2 + 50 + 2 + 107 + 1 + 502 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 23468211360000 + 79033895790201 = 4844400^2 + 8890101^2 .

It is not a de Polignac number, because 102502107150201 - 2¹ = 102502107150199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102502107150601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 92336685 + ... + 93440181.

Almost surely, 2^{102502107150201} is an apocalyptic number.

102502107150201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102502107150201 is a deficient number, since it is larger than the sum of its proper divisors (60242044936315).

102502107150201 is a wasteful number, since it uses less digits than its factorization.

102502107150201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188822 (or 1188808 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

Adding to 102502107150201 its reverse (102051701205201), we get a palindrome (204553808355402).

The spelling of 102502107150201 in words is "one hundred two trillion, five hundred two billion, one hundred seven million, one hundred fifty thousand, two hundred one".