2101102212211 has 16 divisors (see below), whose sum is σ = 2132091805536. Its totient is φ = 2070328732416.

The previous prime is 2101102212191. The next prime is 2101102212239. The reversal of 2101102212211 is 1122122011012.

It is a cyclic number.

It is not a de Polignac number, because 2101102212211 - 2¹⁵ = 2101102179443 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101102212511) 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, 90564865 + ... + 90588061.

It is an arithmetic number, because the mean of its divisors is an integer number (133255737846).

Almost surely, 2^{2101102212211} is an apocalyptic number.

2101102212211 is a deficient number, since it is larger than the sum of its proper divisors (30989593325).

2101102212211 is a wasteful number, since it uses less digits than its factorization.

2101102212211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27798.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2101102212211 its reverse (1122122011012), we get a palindrome (3223224223223).

The spelling of 2101102212211 in words is "two trillion, one hundred one billion, one hundred two million, two hundred twelve thousand, two hundred eleven".