1012112112102 has 128 divisors (see below), whose sum is σ = 2543019494400. Its totient is φ = 261428691456.

The previous prime is 1012112112091. The next prime is 1012112112131. The reversal of 1012112112102 is 2012112112101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8607168 + ... + 8723964.

It is an arithmetic number, because the mean of its divisors is an integer number (19867339800).

Almost surely, 2^{1012112112102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012112112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271509747200).

1012112112102 is an abundant number, since it is smaller than the sum of its proper divisors (1530907382298).

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

1012112112102 is a wasteful number, since it uses less digits than its factorization.

1012112112102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117150.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1012112112102 its reverse (2012112112101), we get a palindrome (3024224224203).

Subtracting 1012112112102 from its reverse (2012112112101), we obtain a palindrome (999999999999).

The spelling of 1012112112102 in words is "one trillion, twelve billion, one hundred twelve million, one hundred twelve thousand, one hundred two".