2011211110001 has 16 divisors (see below), whose sum is σ = 2022090642000. Its totient is φ = 2000366592000.

The previous prime is 2011211109997. The next prime is 2011211110021. The reversal of 2011211110001 is 1000111121102.

It can be written as a sum of positive squares in 8 ways, for example, as 397233970225 + 1613977139776 = 630265^2 + 1270424^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011211110001 - 2² = 2011211109997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011211110021) 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, 478743701 + ... + 478747901.

It is an arithmetic number, because the mean of its divisors is an integer number (126380665125).

Almost surely, 2^{2011211110001} is an apocalyptic number.

It is an amenable number.

2011211110001 is a deficient number, since it is larger than the sum of its proper divisors (10879531999).

2011211110001 is a wasteful number, since it uses less digits than its factorization.

2011211110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7780.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2011211110001 its reverse (1000111121102), we get a palindrome (3011322231103).

It can be divided in two parts, 2011211 and 110001, that added together give a palindrome (2121212).

The spelling of 2011211110001 in words is "two trillion, eleven billion, two hundred eleven million, one hundred ten thousand, one".