201001211000001 has 24 divisors (see below), whose sum is σ = 294555108294720. Its totient is φ = 132054780060000.

The previous prime is 201001210999961. The next prime is 201001211000017. The reversal of 201001211000001 is 100000112100102.

It is a happy number.

It is not a de Polignac number, because 201001211000001 - 2⁹ = 201001210999489 is a prime.

It is a super-3 number, since 3×201001211000001³ (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 not an unprimeable number, because it can be changed into a prime (201001211000021) 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 23 ways as a sum of consecutive naturals, for example, 68431866 + ... + 71308643.

It is an arithmetic number, because the mean of its divisors is an integer number (12273129512280).

Almost surely, 2^{201001211000001} is an apocalyptic number.

It is an amenable number.

201001211000001 is a deficient number, since it is larger than the sum of its proper divisors (93553897294719).

201001211000001 is a wasteful number, since it uses less digits than its factorization.

201001211000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139742837 (or 139742834 counting only the distinct ones).

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

Adding to 201001211000001 its reverse (100000112100102), we get a palindrome (301001323100103).

The spelling of 201001211000001 in words is "two hundred one trillion, one billion, two hundred eleven million, one", and thus it is an aban number.