1011012102012 has 96 divisors (see below), whose sum is σ = 2603029411584. Its totient is φ = 302859648000.

The previous prime is 1011012102011. The next prime is 1011012102013. The reversal of 1011012102012 is 2102012101101.

It is an interprime number because it is at equal distance from previous prime (1011012102011) and next prime (1011012102013).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011012102011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8513508 + ... + 8631444.

It is an arithmetic number, because the mean of its divisors is an integer number (27114889704).

Almost surely, 2^{1011012102012} is an apocalyptic number.

1011012102012 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 1011012102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301514705792).

1011012102012 is an abundant number, since it is smaller than the sum of its proper divisors (1592017309572).

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

1011012102012 is a wasteful number, since it uses less digits than its factorization.

1011012102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118699 (or 118697 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1011012102012 its reverse (2102012101101), we get a palindrome (3113024203113).

It can be divided in two parts, 101101 and 2102012, that multiplied together give a palindrome (212515515212).

The spelling of 1011012102012 in words is "one trillion, eleven billion, twelve million, one hundred two thousand, twelve".