2101000122211 has 16 divisors (see below), whose sum is σ = 2245148452800. Its totient is φ = 1959138690048.

The previous prime is 2101000122203. The next prime is 2101000122239. The reversal of 2101000122211 is 1122210001012.

It is a cyclic number.

It is not a de Polignac number, because 2101000122211 - 2³ = 2101000122203 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101000122191 and 2101000122200.

It is not an unprimeable number, because it can be changed into a prime (2101000122311) 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, 37463730 + ... + 37519768.

It is an arithmetic number, because the mean of its divisors is an integer number (140321778300).

Almost surely, 2^{2101000122211} is an apocalyptic number.

2101000122211 is a deficient number, since it is larger than the sum of its proper divisors (144148330589).

2101000122211 is a wasteful number, since it uses less digits than its factorization.

2101000122211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76398.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2101000122211 its reverse (1122210001012), we get a palindrome (3223210123223).

The spelling of 2101000122211 in words is "two trillion, one hundred one billion, one hundred twenty-two thousand, two hundred eleven".