2012112102 has 256 divisors, whose sum is σ = 5685313536. Its totient is φ = 457920000.

The previous prime is 2012112079. The next prime is 2012112119.

2012112102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2012112102² = 8097190222029716808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18804733 + ... + 18804839.

It is an arithmetic number, because the mean of its divisors is an integer number (22208256).

Almost surely, 2^2012112102 is an apocalyptic number.

2012112102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2012112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842656768).

2012112102 is an abundant number, since it is smaller than the sum of its proper divisors (3673201434).

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

2012112102 is a wasteful number, since it uses less digits than its factorization.

2012112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2012112102 is about 44856.5725618889. The cubic root of 2012112102 is about 1262.4593148605.

It can be divided in two parts, 20121 and 12102, that added together give a palindrome (32223).

The spelling of 2012112102 in words is "two billion, twelve million, one hundred twelve thousand, one hundred two".