2001220101111 has 64 divisors (see below), whose sum is σ = 3411166187520. Its totient is φ = 1013520245760.

The previous prime is 2001220101103. The next prime is 2001220101119. The reversal of 2001220101111 is 1111010221002.

It is an interprime number because it is at equal distance from previous prime (2001220101103) and next prime (2001220101119).

It is not a de Polignac number, because 2001220101111 - 2³ = 2001220101103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001220101119) 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 63 ways as a sum of consecutive naturals, for example, 834760 + ... + 2167778.

It is an arithmetic number, because the mean of its divisors is an integer number (53299471680).

Almost surely, 2^{2001220101111} is an apocalyptic number.

2001220101111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2001220101111 is a deficient number, since it is larger than the sum of its proper divisors (1409946086409).

2001220101111 is a wasteful number, since it uses less digits than its factorization.

2001220101111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333204.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2001220101111 its reverse (1111010221002), we get a palindrome (3112230322113).

The spelling of 2001220101111 in words is "two trillion, one billion, two hundred twenty million, one hundred one thousand, one hundred eleven".