201011012100000 has 576 divisors, whose sum is σ = 749848172895360. Its totient is φ = 52356326400000.

The previous prime is 201011012099959. The next prime is 201011012100013. The reversal of 201011012100000 is 1210110102.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115234320 + ... + 116965680.

It is an arithmetic number, because the mean of its divisors is an integer number (1301819744610).

Almost surely, 2^{201011012100000} is an apocalyptic number.

201011012100000 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 201011012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374924086447680).

201011012100000 is an abundant number, since it is smaller than the sum of its proper divisors (548837160795360).

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

201011012100000 is an equidigital number, since it uses as much as digits as its factorization.

201011012100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731448 (or 1731414 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201011012100000 its reverse (1210110102), we get a palindrome (201012222210102).

The spelling of 201011012100000 in words is "two hundred one trillion, eleven billion, twelve million, one hundred thousand".