1012202102112 has 144 divisors (see below), whose sum is σ = 2804242512960. Its totient is φ = 318802120704.

The previous prime is 1012202102111. The next prime is 1012202102129. The reversal of 1012202102112 is 2112012022101.

It is a junction number, because it is equal to n+sod(n) for n = 1012202102091 and 1012202102100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012202102111) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1089560464 + ... + 1089561392.

It is an arithmetic number, because the mean of its divisors is an integer number (19473906340).

Almost surely, 2^{1012202102112} is an apocalyptic number.

1012202102112 is a gapful number since it is divisible by the number (12) 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 1012202102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402121256480).

1012202102112 is an abundant number, since it is smaller than the sum of its proper divisors (1792040410848).

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

1012202102112 is an frugal number, since it uses more digits than its factorization.

1012202102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2533 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1012202102112 its reverse (2112012022101), we get a palindrome (3124214124213).

The spelling of 1012202102112 in words is "one trillion, twelve billion, two hundred two million, one hundred two thousand, one hundred twelve".