2101101000211 has 16 divisors (see below), whose sum is σ = 2364520204800. Its totient is φ = 1855238871168.

The previous prime is 2101101000209. The next prime is 2101101000233. The reversal of 2101101000211 is 1120001011012.

It is not a de Polignac number, because 2101101000211 - 2¹ = 2101101000209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101101000511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31544191 + ... + 31610728.

It is an arithmetic number, because the mean of its divisors is an integer number (147782512800).

Almost surely, 2^{2101101000211} is an apocalyptic number.

2101101000211 is a deficient number, since it is larger than the sum of its proper divisors (263419204589).

2101101000211 is a wasteful number, since it uses less digits than its factorization.

2101101000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63155058.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2101101000211 its reverse (1120001011012), we get a palindrome (3221102011223).

The spelling of 2101101000211 in words is "two trillion, one hundred one billion, one hundred one million, two hundred eleven", and thus it is an aban number.