102212100 has 81 divisors (see below), whose sum is σ = 321331647. Its totient is φ = 27175680.

The previous prime is 102212059. The next prime is 102212107. The reversal of 102212100 is 1212201.

The square root of 102212100 is 10110.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 14152644 + 88059456 = 3762^2 + 9384^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102212107) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 303132 + ... + 303468.

Almost surely, 2^102212100 is an apocalyptic number.

102212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102212100 is the 10110-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212100

102212100 is an abundant number, since it is smaller than the sum of its proper divisors (219119547).

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

102212100 is a wasteful number, since it uses less digits than its factorization.

102212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The cubic root of 102212100 is about 467.5565051284.

Adding to 102212100 its reverse (1212201), we get a palindrome (103424301).

Multiplying 102212100 by its reverse (1212201), we get a square (123901609832100 = 11131110²).

It can be divided in two parts, 10221 and 2100, that added together give a palindrome (12321).

The spelling of 102212100 in words is "one hundred two million, two hundred twelve thousand, one hundred".