1012102000000 has 896 divisors, whose sum is σ = 3186184216320. Its totient is φ = 311731200000.

The previous prime is 1012101999983. The next prime is 1012102000027. The reversal of 1012102000000 is 2012101.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (7).

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 111 ways as a sum of consecutive naturals, for example, 12193999959 + ... + 12194000041.

It is an arithmetic number, because the mean of its divisors is an integer number (3556009170).

Almost surely, 2^{1012102000000} is an apocalyptic number.

1012102000000 is a gapful number since it is divisible by the number (10) 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 1012102000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593092108160).

1012102000000 is an abundant number, since it is smaller than the sum of its proper divisors (2174082216320).

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

1012102000000 is an frugal number, since it uses more digits than its factorization.

1012102000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1012102000000 its reverse (2012101), we get a palindrome (1012104012101).

The spelling of 1012102000000 in words is "one trillion, twelve billion, one hundred two million", and thus it is an aban number.