101301101103101 has 4 divisors (see below), whose sum is σ = 101301236931804. Its totient is φ = 101300965274400.

The previous prime is 101301101103053. The next prime is 101301101103107.

101301101103101 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 90389799096025 + 10911302007076 = 9507355^2 + 3303226^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101301101103101 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 (101301101103107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66789440 + ... + 68289321.

It is an arithmetic number, because the mean of its divisors is an integer number (25325309232951).

Almost surely, 2^{101301101103101} is an apocalyptic number.

It is an amenable number.

101301101103101 is a deficient number, since it is larger than the sum of its proper divisors (135828703).

101301101103101 is an equidigital number, since it uses as much as digits as its factorization.

101301101103101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135828702.

The product of its (nonzero) digits is 9, while the sum is 14.

It can be divided in two parts, 10130110 and 1103101, that added together give a palindrome (11233211).

The spelling of 101301101103101 in words is "one hundred one trillion, three hundred one billion, one hundred one million, one hundred three thousand, one hundred one".