101211120210001 has 8 divisors (see below), whose sum is σ = 104597203450824. Its totient is φ = 97868728366080.

The previous prime is 101211120209971. The next prime is 101211120210019. The reversal of 101211120210001 is 100012021112101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19824578150400 + 81386542059601 = 4452480^2 + 9021449^2 .

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 101211120210001 - 2⁷ = 101211120209873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101211120211001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10922844516 + ... + 10922853781.

It is an arithmetic number, because the mean of its divisors is an integer number (13074650431353).

Almost surely, 2^{101211120210001} is an apocalyptic number.

It is an amenable number.

101211120210001 is a deficient number, since it is larger than the sum of its proper divisors (3386083240823).

101211120210001 is a wasteful number, since it uses less digits than its factorization.

101211120210001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21845698451.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101211120210001 its reverse (100012021112101), we get a palindrome (201223141322102).

The spelling of 101211120210001 in words is "one hundred one trillion, two hundred eleven billion, one hundred twenty million, two hundred ten thousand, one".