211052101 has 6 divisors (see below), whose sum is σ = 228535890. Its totient is φ = 194817168.

The previous prime is 211052089. The next prime is 211052113. The reversal of 211052101 is 101250112.

It is an interprime number because it is at equal distance from previous prime (211052089) and next prime (211052113).

It can be written as a sum of positive squares in 3 ways, for example, as 8673025 + 202379076 = 2945^2 + 14226^2 .

It is not a de Polignac number, because 211052101 - 2²³ = 202663493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211052801) 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, 624246 + ... + 624583.

It is an arithmetic number, because the mean of its divisors is an integer number (38089315).

Almost surely, 2^211052101 is an apocalyptic number.

It is an amenable number.

211052101 is a deficient number, since it is larger than the sum of its proper divisors (17483789).

211052101 is a wasteful number, since it uses less digits than its factorization.

211052101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1248855 (or 1248842 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

The square root of 211052101 is about 14527.6323260193. The cubic root of 211052101 is about 595.3831780810.

The spelling of 211052101 in words is "two hundred eleven million, fifty-two thousand, one hundred one".