211002100101 has 24 divisors (see below), whose sum is σ = 328408063256. Its totient is φ = 129775219200.

The previous prime is 211002100019. The next prime is 211002100103. The reversal of 211002100101 is 101001200112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2381537601 + 208620562500 = 48801^2 + 456750^2 .

It is not a de Polignac number, because 211002100101 - 2¹⁵ = 211002067333 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211002100103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289960 + ... + 711393.

Almost surely, 2^211002100101 is an apocalyptic number.

It is an amenable number.

211002100101 is a deficient number, since it is larger than the sum of its proper divisors (117405963155).

211002100101 is a wasteful number, since it uses less digits than its factorization.

211002100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003173 (or 1003170 counting only the distinct ones).

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

Adding to 211002100101 its reverse (101001200112), we get a palindrome (312003300213).

The spelling of 211002100101 in words is "two hundred eleven billion, two million, one hundred thousand, one hundred one".