102201021 has 40 divisors (see below), whose sum is σ = 166852224. Its totient is φ = 61961760.

The previous prime is 102201007. The next prime is 102201061. The reversal of 102201021 is 120102201.

It is not a de Polignac number, because 102201021 - 2¹⁰ = 102199997 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 102200994 and 102201012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74080 + ... + 75446.

Almost surely, 2^102201021 is an apocalyptic number.

It is an amenable number.

102201021 is a deficient number, since it is larger than the sum of its proper divisors (64651203).

102201021 is a wasteful number, since it uses less digits than its factorization.

102201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1454 counting only the distinct ones).

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

The square root of 102201021 is about 10109.4520623029. The cubic root of 102201021 is about 467.5396113500.

Adding to 102201021 its reverse (120102201), we get a palindrome (222303222).

The spelling of 102201021 in words is "one hundred two million, two hundred one thousand, twenty-one".