2101111012 has 96 divisors (see below), whose sum is σ = 5030532864. Its totient is φ = 741312000.

The previous prime is 2101111007. The next prime is 2101111027.

2101111012 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2101111012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207262 + ... + 217162.

It is an arithmetic number, because the mean of its divisors is an integer number (52401384).

Almost surely, 2^2101111012 is an apocalyptic number.

2101111012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101111012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2515266432).

2101111012 is an abundant number, since it is smaller than the sum of its proper divisors (2929421852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101111012 is a wasteful number, since it uses less digits than its factorization.

2101111012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9989 (or 9987 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

The square root of 2101111012 is about 45837.8774814018. The cubic root of 2101111012 is about 1280.8049567322.

It can be divided in two parts, 21011 and 11012, that multiplied together give a palindrome (231373132).

The spelling of 2101111012 in words is "two billion, one hundred one million, one hundred eleven thousand, twelve".