102120201 has 12 divisors (see below), whose sum is σ = 148058820. Its totient is φ = 67825440.

The previous prime is 102120197. The next prime is 102120203. The reversal of 102120201 is 102021201.

It can be written as a sum of positive squares in 2 ways, for example, as 5294601 + 96825600 = 2301^2 + 9840^2 .

It is not a de Polignac number, because 102120201 - 2² = 102120197 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102120203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18670 + ... + 23511.

It is an arithmetic number, because the mean of its divisors is an integer number (12338235).

Almost surely, 2^102120201 is an apocalyptic number.

It is an amenable number.

102120201 is a deficient number, since it is larger than the sum of its proper divisors (45938619).

102120201 is a wasteful number, since it uses less digits than its factorization.

102120201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42456 (or 42453 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 102120201 is about 10105.4540224574. The cubic root of 102120201 is about 467.4163362729.

Adding to 102120201 its reverse (102021201), we get a palindrome (204141402).

The spelling of 102120201 in words is "one hundred two million, one hundred twenty thousand, two hundred one".