102210100 has 36 divisors (see below), whose sum is σ = 228957568. Its totient is φ = 39564000.

The previous prime is 102210077. The next prime is 102210107. The reversal of 102210100 is 1012201.

It is a super-3 number, since 3×102210100³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210107) 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 11 ways as a sum of consecutive naturals, for example, 13386 + ... + 19585.

Almost surely, 2^102210100 is an apocalyptic number.

102210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102210100 is an abundant number, since it is smaller than the sum of its proper divisors (126747468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102210100 is a wasteful number, since it uses less digits than its factorization.

102210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33016 (or 33009 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

The square root of 102210100 is about 10109.9010875478. The cubic root of 102210100 is about 467.5534555249.

Adding to 102210100 its reverse (1012201), we get a palindrome (103222301).

The spelling of 102210100 in words is "one hundred two million, two hundred ten thousand, one hundred".