101211101112101 has 8 divisors (see below), whose sum is σ = 101514718397400. Its totient is φ = 100907561622528.

The previous prime is 101211101112053. The next prime is 101211101112133.

101211101112101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 29121661809601 + 72089439302500 = 5396449^2 + 8490550^2 .

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 101211101112101 - 2³⁴ = 101193921242917 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211101112181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16842536 + ... + 22047521.

It is an arithmetic number, because the mean of its divisors is an integer number (12689339799675).

Almost surely, 2^{101211101112101} is an apocalyptic number.

It is an amenable number.

101211101112101 is a deficient number, since it is larger than the sum of its proper divisors (303617285299).

101211101112101 is an equidigital number, since it uses as much as digits as its factorization.

101211101112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38897863.

The product of its (nonzero) digits is 4, while the sum is 14.

It can be divided in two parts, 10121110 and 1112101, that added together give a palindrome (11233211).

The spelling of 101211101112101 in words is "one hundred one trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, one hundred one".