102010221 has 48 divisors (see below), whose sum is σ = 166458240. Its totient is φ = 59875200.

The previous prime is 102010199. The next prime is 102010231. The reversal of 102010221 is 122010201.

It is not a de Polignac number, because 102010221 - 2⁹ = 102009709 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145171 + ... + 145871.

It is an arithmetic number, because the mean of its divisors is an integer number (3467880).

Almost surely, 2^102010221 is an apocalyptic number.

It is an amenable number.

102010221 is a deficient number, since it is larger than the sum of its proper divisors (64448019).

102010221 is a wasteful number, since it uses less digits than its factorization.

102010221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 783 counting only the distinct ones).

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

The square root of 102010221 is about 10100.0109405881. The cubic root of 102010221 is about 467.2484788084.

Adding to 102010221 its reverse (122010201), we get a palindrome (224020422).

The spelling of 102010221 in words is "one hundred two million, ten thousand, two hundred twenty-one".