201001101000012 has 36 divisors (see below), whose sum is σ = 515669491294776. Its totient is φ = 66000361521600.

The previous prime is 201001100999999. The next prime is 201001101000017. The reversal of 201001101000012 is 210000101100102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×201001101000012³ (a number of 44 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 201001100999958 and 201001101000003.

It is not an unprimeable number, because it can be changed into a prime (201001101000017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41666892489 + ... + 41666897312.

It is an arithmetic number, because the mean of its divisors is an integer number (14324152535966).

Almost surely, 2^{201001101000012} is an apocalyptic number.

It is an amenable number.

201001101000012 is an abundant number, since it is smaller than the sum of its proper divisors (314668390294764).

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

201001101000012 is a wasteful number, since it uses less digits than its factorization.

201001101000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83333789878 (or 83333789873 counting only the distinct ones).

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

Adding to 201001101000012 its reverse (210000101100102), we get a palindrome (411001202100114).

The spelling of 201001101000012 in words is "two hundred one trillion, one billion, one hundred one million, twelve", and thus it is an aban number.