20101100211 has 12 divisors (see below), whose sum is σ = 30110290392. Its totient is φ = 13400733312.

The previous prime is 20101100209. The next prime is 20101100231. The reversal of 20101100211 is 11200110102.

It is a happy number.

It is not a de Polignac number, because 20101100211 - 2¹ = 20101100209 is a prime.

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 = 20101100193 and 20101100202.

It is not an unprimeable number, because it can be changed into a prime (20101100231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41360046 + ... + 41360531.

It is an arithmetic number, because the mean of its divisors is an integer number (2509190866).

Almost surely, 2^20101100211 is an apocalyptic number.

20101100211 is a deficient number, since it is larger than the sum of its proper divisors (10009190181).

20101100211 is an frugal number, since it uses more digits than its factorization.

20101100211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82720592 (or 82720580 counting only the distinct ones).

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

Adding to 20101100211 its reverse (11200110102), we get a palindrome (31301210313).

The spelling of 20101100211 in words is "twenty billion, one hundred one million, one hundred thousand, two hundred eleven".