101211100001 has 8 divisors (see below), whose sum is σ = 110894260800. Its totient is φ = 91608297840.

The previous prime is 101211099991. The next prime is 101211100009. The reversal of 101211100001 is 100001112101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101211100001 - 2³⁰ = 100137358177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101211100009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20087021 + ... + 20092058.

It is an arithmetic number, because the mean of its divisors is an integer number (13861782600).

Almost surely, 2^101211100001 is an apocalyptic number.

101211100001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211100001 is a deficient number, since it is larger than the sum of its proper divisors (9683160799).

101211100001 is a wasteful number, since it uses less digits than its factorization.

101211100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40179319.

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

Adding to 101211100001 its reverse (100001112101), we get a palindrome (201212212102).

The spelling of 101211100001 in words is "one hundred one billion, two hundred eleven million, one hundred thousand, one".