1001011112211 has 32 divisors (see below), whose sum is σ = 1521136869120. Its totient is φ = 579954032000.

The previous prime is 1001011112203. The next prime is 1001011112281. The reversal of 1001011112211 is 1122111101001.

It is a cyclic number.

It is not a de Polignac number, because 1001011112211 - 2³ = 1001011112203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001011112281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5081505 + ... + 5274818.

It is an arithmetic number, because the mean of its divisors is an integer number (47535527160).

Almost surely, 2^{1001011112211} is an apocalyptic number.

1001011112211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001011112211 is a deficient number, since it is larger than the sum of its proper divisors (520125756909).

1001011112211 is a wasteful number, since it uses less digits than its factorization.

1001011112211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10356467.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1001011112211 its reverse (1122111101001), we get a palindrome (2123122213212).

The spelling of 1001011112211 in words is "one trillion, one billion, eleven million, one hundred twelve thousand, two hundred eleven".