211012100 has 72 divisors (see below), whose sum is σ = 519133440. Its totient is φ = 73802880.

The previous prime is 211012069. The next prime is 211012103. The reversal of 211012100 is 1210112.

It is a super-2 number, since 2×211012100² = 89052212692820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211012103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20429 + ... + 28971.

Almost surely, 2^211012100 is an apocalyptic number.

211012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259566720).

211012100 is an abundant number, since it is smaller than the sum of its proper divisors (308121340).

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

211012100 is a wasteful number, since it uses less digits than its factorization.

211012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8589 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 211012100 is about 14526.2555395394. The cubic root of 211012100 is about 595.3455611021.

Adding to 211012100 its reverse (1210112), we get a palindrome (212222212).

It can be divided in two parts, 211012 and 100, that added together give a palindrome (211112).

The spelling of 211012100 in words is "two hundred eleven million, twelve thousand, one hundred".