2001012102111 has 64 divisors (see below), whose sum is σ = 2951889661440. Its totient is φ = 1195629120000.

The previous prime is 2001012102107. The next prime is 2001012102121. The reversal of 2001012102111 is 1112012101002.

It is not a de Polignac number, because 2001012102111 - 2² = 2001012102107 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001012102121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1340261881 + ... + 1340263373.

It is an arithmetic number, because the mean of its divisors is an integer number (46123275960).

Almost surely, 2^{2001012102111} is an apocalyptic number.

2001012102111 is a deficient number, since it is larger than the sum of its proper divisors (950877559329).

2001012102111 is a wasteful number, since it uses less digits than its factorization.

2001012102111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048.

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

Adding to 2001012102111 its reverse (1112012101002), we get a palindrome (3113024203113).

It can be divided in two parts, 20010 and 12102111, that added together give a palindrome (12122121).

The spelling of 2001012102111 in words is "two trillion, one billion, twelve million, one hundred two thousand, one hundred eleven".