2111010101112 has 96 divisors (see below), whose sum is σ = 5802474258000. Its totient is φ = 639528215040.

The previous prime is 2111010101093. The next prime is 2111010101131.

2111010101112 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2111010101093) and next prime (2111010101131).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10930764 + ... + 11122212.

Almost surely, 2^{2111010101112} is an apocalyptic number.

2111010101112 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 2111010101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2901237129000).

2111010101112 is an abundant number, since it is smaller than the sum of its proper divisors (3691464156888).

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

2111010101112 is a wasteful number, since it uses less digits than its factorization.

2111010101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195277 (or 195262 counting only the distinct ones).

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

It can be divided in two parts, 2111010 and 101112, that added together give a palindrome (2212122).

The spelling of 2111010101112 in words is "two trillion, one hundred eleven billion, ten million, one hundred one thousand, one hundred twelve".