211000102101 has 6 divisors (see below), whose sum is σ = 304777925270. Its totient is φ = 140666734728.

The previous prime is 211000102069. The next prime is 211000102123. The reversal of 211000102101 is 101201000112.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 210474500625 + 525601476 = 458775^2 + 22926^2 .

It is not a de Polignac number, because 211000102101 - 2⁵ = 211000102069 is a prime.

It is a super-2 number, since 2×211000102101² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 23444455789 = 211000102101 / (2 + 1 + 1 + 0 + 0 + 0 + 1 + 0 + 2 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000102141) 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, 11722227886 + ... + 11722227903.

Almost surely, 2^211000102101 is an apocalyptic number.

It is an amenable number.

211000102101 is a deficient number, since it is larger than the sum of its proper divisors (93777823169).

211000102101 is a wasteful number, since it uses less digits than its factorization.

211000102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23444455795 (or 23444455792 counting only the distinct ones).

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

Adding to 211000102101 its reverse (101201000112), we get a palindrome (312201102213).

The spelling of 211000102101 in words is "two hundred eleven billion, one hundred two thousand, one hundred one".