1501012010000 has 200 divisors, whose sum is σ = 3670116436800. Its totient is φ = 594484288000.

The previous prime is 1501012009963. The next prime is 1501012010059. The reversal of 1501012010000 is 102101051.

It is a tau number, because it is divible by the number of its divisors (200).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 454988351 + ... + 454991649.

It is an arithmetic number, because the mean of its divisors is an integer number (18350582184).

Almost surely, 2^{1501012010000} is an apocalyptic number.

1501012010000 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 1501012010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1835058218400).

1501012010000 is an abundant number, since it is smaller than the sum of its proper divisors (2169104426800).

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

1501012010000 is a wasteful number, since it uses less digits than its factorization.

1501012010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 11.

Adding to 1501012010000 its reverse (102101051), we get a palindrome (1501114111051).

The spelling of 1501012010000 in words is "one trillion, five hundred one billion, twelve million, ten thousand".