1012100012000 has 384 divisors, whose sum is σ = 3105260540928. Its totient is φ = 314959104000.

The previous prime is 1012100011921. The next prime is 1012100012029. The reversal of 1012100012000 is 2100012101.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 225761759 + ... + 225766241.

It is an arithmetic number, because the mean of its divisors is an integer number (8086615992).

Almost surely, 2^{1012100012000} is an apocalyptic number.

1012100012000 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 1012100012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552630270464).

1012100012000 is an abundant number, since it is smaller than the sum of its proper divisors (2093160528928).

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

1012100012000 is a wasteful number, since it uses less digits than its factorization.

1012100012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1012100012000 its reverse (2100012101), we get a palindrome (1014200024101).

The spelling of 1012100012000 in words is "one trillion, twelve billion, one hundred million, twelve thousand".