201012100020000 has 720 divisors, whose sum is σ = 736541013079872. Its totient is φ = 51946272000000.

The previous prime is 201012100019881. The next prime is 201012100020091. The reversal of 201012100020000 is 20001210102.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 119 ways as a sum of consecutive naturals, for example, 1671599877 + ... + 1671720123.

Almost surely, 2^{201012100020000} is an apocalyptic number.

201012100020000 is a gapful number since it is divisible by the number (20) 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 201012100020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368270506539936).

201012100020000 is an abundant number, since it is smaller than the sum of its proper divisors (535528913059872).

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

201012100020000 is a wasteful number, since it uses less digits than its factorization.

201012100020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120571 (or 120545 counting only the distinct ones).

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

Adding to 201012100020000 its reverse (20001210102), we get a palindrome (201032101230102).

The spelling of 201012100020000 in words is "two hundred one trillion, twelve billion, one hundred million, twenty thousand".