101103141301101 has 48 divisors (see below), whose sum is σ = 147794495979312. Its totient is φ = 66594286080000.

The previous prime is 101103141301067. The next prime is 101103141301109.

101103141301101 is a `hidden beast` number, since 1 + 0 + 110 + 31 + 413 + 0 + 110 + 1 = 666.

101103141301101 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 10272730112100 + 90830411189001 = 3205110^2 + 9530499^2 .

It is not a de Polignac number, because 101103141301101 - 2²⁹ = 101102604430189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101103141301109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 951299901 + ... + 951406173.

It is an arithmetic number, because the mean of its divisors is an integer number (3079051999569).

Almost surely, 2^{101103141301101} is an apocalyptic number.

It is an amenable number.

101103141301101 is a deficient number, since it is larger than the sum of its proper divisors (46691354678211).

101103141301101 is a wasteful number, since it uses less digits than its factorization.

101103141301101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108574 (or 108571 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 101103141301101 in words is "one hundred one trillion, one hundred three billion, one hundred forty-one million, three hundred one thousand, one hundred one".