201001312331100 has 90 divisors (see below), whose sum is σ = 651566846677824. Its totient is φ = 53600349952800.

The previous prime is 201001312331033. The next prime is 201001312331107. The reversal of 201001312331100 is 1133213100102.

201001312331100 is a `hidden beast` number, since 2 + 0 + 10 + 0 + 1 + 312 + 331 + 10 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201001312331107) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12407480316 + ... + 12407496515.

Almost surely, 2^{201001312331100} is an apocalyptic number.

201001312331100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201001312331100 is an abundant number, since it is smaller than the sum of its proper divisors (450565534346724).

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

201001312331100 is a wasteful number, since it uses less digits than its factorization.

201001312331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24814976857 (or 24814976841 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 201001312331100 its reverse (1133213100102), we get a palindrome (202134525431202).

The spelling of 201001312331100 in words is "two hundred one trillion, one billion, three hundred twelve million, three hundred thirty-one thousand, one hundred".