2101010111112 has 32 divisors (see below), whose sum is σ = 5730027576480. Its totient is φ = 636669730560.

The previous prime is 2101010111107. The next prime is 2101010111117. The reversal of 2101010111112 is 2111110101012.

It is an interprime number because it is at equal distance from previous prime (2101010111107) and next prime (2101010111117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (2101010111117) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3979185553 + ... + 3979186080.

It is an arithmetic number, because the mean of its divisors is an integer number (179063361765).

Almost surely, 2^{2101010111112} is an apocalyptic number.

2101010111112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2101010111112 is an abundant number, since it is smaller than the sum of its proper divisors (3629017465368).

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

2101010111112 is a wasteful number, since it uses less digits than its factorization.

2101010111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7958371653 (or 7958371649 counting only the distinct ones).

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

Adding to 2101010111112 its reverse (2111110101012), we get a palindrome (4212120212124).

It can be divided in two parts, 2101010 and 111112, that added together give a palindrome (2212122).

The spelling of 2101010111112 in words is "two trillion, one hundred one billion, ten million, one hundred eleven thousand, one hundred twelve".