201001110100320 has 192 divisors, whose sum is σ = 658605093531840. Its totient is φ = 51466086604800.

The previous prime is 201001110100289. The next prime is 201001110100327. The reversal of 201001110100320 is 23001011100102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 201001110100296 and 201001110100305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001110100327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37369251 + ... + 42408290.

It is an arithmetic number, because the mean of its divisors is an integer number (3430234862145).

Almost surely, 2^{201001110100320} is an apocalyptic number.

201001110100320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001110100320 is an abundant number, since it is smaller than the sum of its proper divisors (457603983431520).

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

201001110100320 is a wasteful number, since it uses less digits than its factorization.

201001110100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79777769 (or 79777761 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 201001110100320 its reverse (23001011100102), we get a palindrome (224002121200422).

The spelling of 201001110100320 in words is "two hundred one trillion, one billion, one hundred ten million, one hundred thousand, three hundred twenty".