102210031 has 18 divisors (see below), whose sum is σ = 130696440. Its totient is φ = 79639560.

The previous prime is 102210029. The next prime is 102210037. The reversal of 102210031 is 130012201.

It is not a de Polignac number, because 102210031 - 2¹ = 102210029 is a prime.

It is a super-3 number, since 3×102210031³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210037) 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 17 ways as a sum of consecutive naturals, for example, 2691 + ... + 14548.

Almost surely, 2^102210031 is an apocalyptic number.

102210031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102210031 is a deficient number, since it is larger than the sum of its proper divisors (28486409).

102210031 is a wasteful number, since it uses less digits than its factorization.

102210031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17275 (or 17257 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 102210031 is about 10109.8976750509. The cubic root of 102210031 is about 467.5533503129.

Adding to 102210031 its reverse (130012201), we get a palindrome (232222232).

The spelling of 102210031 in words is "one hundred two million, two hundred ten thousand, thirty-one".