201001020110000 has 400 divisors, whose sum is σ = 536401040921856. Its totient is φ = 72332400000000.

The previous prime is 201001020109973. The next prime is 201001020110047. The reversal of 201001020110000 is 11020100102.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 201001020110000.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36340807235 + ... + 36340812765.

Almost surely, 2^{201001020110000} is an apocalyptic number.

201001020110000 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 201001020110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268200520460928).

201001020110000 is an abundant number, since it is smaller than the sum of its proper divisors (335400020811856).

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

201001020110000 is a wasteful number, since it uses less digits than its factorization.

201001020110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8942 (or 8921 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 201001020110000 its reverse (11020100102), we get a palindrome (201012040210102).

The spelling of 201001020110000 in words is "two hundred one trillion, one billion, twenty million, one hundred ten thousand".