102132020221 has 32 divisors (see below), whose sum is σ = 130039914240. Its totient is φ = 77909568000.

The previous prime is 102132020209. The next prime is 102132020233. The reversal of 102132020221 is 122020231201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102132020209) and next prime (102132020233).

It is not a de Polignac number, because 102132020221 - 2⁵ = 102132020189 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102132020195 and 102132020204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132020201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618375 + ... + 765931.

It is an arithmetic number, because the mean of its divisors is an integer number (4063747320).

Almost surely, 2^102132020221 is an apocalyptic number.

102132020221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102132020221 is a deficient number, since it is larger than the sum of its proper divisors (27907894019).

102132020221 is a wasteful number, since it uses less digits than its factorization.

102132020221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147765.

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102132020221 its reverse (122020231201), we get a palindrome (224152251422).

The spelling of 102132020221 in words is "one hundred two billion, one hundred thirty-two million, twenty thousand, two hundred twenty-one".