211010112 has 84 divisors (see below), whose sum is σ = 621231676. Its totient is φ = 68428800.

The previous prime is 211010101. The next prime is 211010123.

It is a happy number.

211010112 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (211010101) and next prime (211010123).

It can be written as a sum of positive squares in 2 ways, for example, as 196448256 + 14561856 = 14016^2 + 3816^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 211010094 and 211010103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16362 + ... + 26262.

Almost surely, 2^211010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310615838).

211010112 is an abundant number, since it is smaller than the sum of its proper divisors (410221564).

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

211010112 is a wasteful number, since it uses less digits than its factorization.

211010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9956 (or 9943 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 211010112 is about 14526.1871115582. The cubic root of 211010112 is about 595.3436914609.

The spelling of 211010112 in words is "two hundred eleven million, ten thousand, one hundred twelve".