1011012010000 has 100 divisors (see below), whose sum is σ = 2448606407632. Its totient is φ = 404265168000.

The previous prime is 1011012009977. The next prime is 1011012010007. The reversal of 1011012010000 is 102101101.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (1011012010007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31854139 + ... + 31885861.

Almost surely, 2^{1011012010000} is an apocalyptic number.

1011012010000 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 1011012010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1224303203816).

1011012010000 is an abundant number, since it is smaller than the sum of its proper divisors (1437594397632).

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

1011012010000 is an equidigital number, since it uses as much as digits as its factorization.

1011012010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34938 (or 34917 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1011012010000 its reverse (102101101), we get a palindrome (1011114111101).

The spelling of 1011012010000 in words is "one trillion, eleven billion, twelve million, ten thousand".