10021201020000 has 360 divisors, whose sum is σ = 35767860664536. Its totient is φ = 2660537088000.

The previous prime is 10021201019981. The next prime is 10021201020001. The reversal of 10021201020000 is 2010212001.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021201020001) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 40737372 + ... + 40982628.

Almost surely, 2^{10021201020000} is an apocalyptic number.

10021201020000 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 10021201020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17883930332268).

10021201020000 is an abundant number, since it is smaller than the sum of its proper divisors (25746659644536).

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

10021201020000 is a wasteful number, since it uses less digits than its factorization.

10021201020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245520 (or 245494 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10021201020000 its reverse (2010212001), we get a palindrome (10023211232001).

The spelling of 10021201020000 in words is "ten trillion, twenty-one billion, two hundred one million, twenty thousand".