102213100 has 36 divisors (see below), whose sum is σ = 241968888. Its totient is φ = 37168000.

The previous prime is 102213079. The next prime is 102213101. The reversal of 102213100 is 1312201.

It is a super-2 number, since 2×102213100² = 20895035623220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (102213101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45361 + ... + 47560.

It is an arithmetic number, because the mean of its divisors is an integer number (6721358).

Almost surely, 2^102213100 is an apocalyptic number.

102213100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102213100 is an abundant number, since it is smaller than the sum of its proper divisors (139755788).

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

102213100 is a wasteful number, since it uses less digits than its factorization.

102213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92946 (or 92939 counting only the distinct ones).

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

The square root of 102213100 is about 10110.0494558632. The cubic root of 102213100 is about 467.5580299151.

Adding to 102213100 its reverse (1312201), we get a palindrome (103525301).

The spelling of 102213100 in words is "one hundred two million, two hundred thirteen thousand, one hundred".