102220133 has 8 divisors (see below), whose sum is σ = 113929920. Its totient is φ = 91143360.

The previous prime is 102220123. The next prime is 102220147. The reversal of 102220133 is 331022201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102220133 - 2¹⁴ = 102203749 is a prime.

It is a super-3 number, since 3×102220133³ (a number of 25 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102220123) 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 7 ways as a sum of consecutive naturals, for example, 157913 + ... + 158558.

It is an arithmetic number, because the mean of its divisors is an integer number (14241240).

Almost surely, 2^102220133 is an apocalyptic number.

It is an amenable number.

102220133 is a deficient number, since it is larger than the sum of its proper divisors (11709787).

102220133 is a wasteful number, since it uses less digits than its factorization.

102220133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316507.

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 102220133 is about 10110.3972721155. The cubic root of 102220133 is about 467.5687534597.

Adding to 102220133 its reverse (331022201), we get a palindrome (433242334).

The spelling of 102220133 in words is "one hundred two million, two hundred twenty thousand, one hundred thirty-three".