100212100 has 18 divisors (see below), whose sum is σ = 217460474. Its totient is φ = 40084800.

The previous prime is 100212097. The next prime is 100212103. The reversal of 100212100 is 1212001.

It is an interprime number because it is at equal distance from previous prime (100212097) and next prime (100212103).

It can be written as a sum of positive squares in 3 ways, for example, as 7706176 + 92505924 = 2776^2 + 9618^2 .

It is not an unprimeable number, because it can be changed into a prime (100212103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500961 + ... + 501160.

Almost surely, 2^100212100 is an apocalyptic number.

100212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212100 is an abundant number, since it is smaller than the sum of its proper divisors (117248374).

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

100212100 is a wasteful number, since it uses less digits than its factorization.

100212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002135 (or 1002128 counting only the distinct ones).

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

The square root of 100212100 is about 10010.5993826544. The cubic root of 100212100 is about 464.4868119555.

Adding to 100212100 its reverse (1212001), we get a palindrome (101424101).

Subtracting from 100212100 its reverse (1212001), we obtain a palindrome (99000099).

It can be divided in two parts, 10021 and 2100, that added together give a palindrome (12121).

The spelling of 100212100 in words is "one hundred million, two hundred twelve thousand, one hundred".