2101011212011 has 16 divisors (see below), whose sum is σ = 2175292652544. Its totient is φ = 2027967050304.

The previous prime is 2101011211973. The next prime is 2101011212017. The reversal of 2101011212011 is 1102121101012.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2101011212011 - 2¹¹ = 2101011209963 is a prime.

It is a super-2 number, since 2×2101011212011² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2101011211982 and 2101011212000.

It is not an unprimeable number, because it can be changed into a prime (2101011212017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60735426 + ... + 60770008.

It is an arithmetic number, because the mean of its divisors is an integer number (135955790784).

Almost surely, 2^{2101011212011} is an apocalyptic number.

2101011212011 is a deficient number, since it is larger than the sum of its proper divisors (74281440533).

2101011212011 is a wasteful number, since it uses less digits than its factorization.

2101011212011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52410.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2101011212011 its reverse (1102121101012), we get a palindrome (3203132313023).

The spelling of 2101011212011 in words is "two trillion, one hundred one billion, eleven million, two hundred twelve thousand, eleven".