1001201010000 has 600 divisors, whose sum is σ = 3435901159680. Its totient is φ = 251099136000.

The previous prime is 1001201009951. The next prime is 1001201010059. The reversal of 1001201010000 is 101021001.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2090189761 + ... + 2090190239.

Almost surely, 2^{1001201010000} is an apocalyptic number.

1001201010000 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 1001201010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717950579840).

1001201010000 is an abundant number, since it is smaller than the sum of its proper divisors (2434700149680).

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

1001201010000 is a wasteful number, since it uses less digits than its factorization.

1001201010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1001201010000 its reverse (101021001), we get a palindrome (1001302031001).

The spelling of 1001201010000 in words is "one trillion, one billion, two hundred one million, ten thousand".