2101211022011 has 8 divisors (see below), whose sum is σ = 2195181354240. Its totient is φ = 2007458467432.

The previous prime is 2101211021999. The next prime is 2101211022047. The reversal of 2101211022011 is 1102201121012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2101211022011 is a prime.

It is a super-2 number, since 2×2101211022011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101211022091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54424685 + ... + 54463278.

It is an arithmetic number, because the mean of its divisors is an integer number (274397669280).

Almost surely, 2^{2101211022011} is an apocalyptic number.

2101211022011 is a deficient number, since it is larger than the sum of its proper divisors (93970332229).

2101211022011 is a wasteful number, since it uses less digits than its factorization.

2101211022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108888825.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2101211022011 its reverse (1102201121012), we get a palindrome (3203412143023).

Subtracting from 2101211022011 its reverse (1102201121012), we obtain a palindrome (999009900999).

It can be divided in two parts, 21012 and 11022011, that multiplied together give a palindrome (231594495132).

The spelling of 2101211022011 in words is "two trillion, one hundred one billion, two hundred eleven million, twenty-two thousand, eleven".