101001211000001 has 16 divisors (see below), whose sum is σ = 109380499804800. Its totient is φ = 92709082023168.

The previous prime is 101001210999991. The next prime is 101001211000009. The reversal of 101001211000001 is 100000112100101.

It is a happy number.

It is not a de Polignac number, because 101001211000001 - 2³⁴ = 100984031130817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001211000009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116217260 + ... + 117083106.

It is an arithmetic number, because the mean of its divisors is an integer number (6836281237800).

Almost surely, 2^{101001211000001} is an apocalyptic number.

It is an amenable number.

101001211000001 is a deficient number, since it is larger than the sum of its proper divisors (8379288804799).

101001211000001 is a wasteful number, since it uses less digits than its factorization.

101001211000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916168.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101001211000001 its reverse (100000112100101), we get a palindrome (201001323100102).

The spelling of 101001211000001 in words is "one hundred one trillion, one billion, two hundred eleven million, one", and thus it is an aban number.