101354453101 has 16 divisors (see below), whose sum is σ = 117145096128. Its totient is φ = 86666630400.

The previous prime is 101354453041. The next prime is 101354453129.

101354453101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101354453101 - 2¹¹ = 101354451053 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101354453101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101354453141) 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 15 ways as a sum of consecutive naturals, for example, 135946 + ... + 470308.

It is an arithmetic number, because the mean of its divisors is an integer number (7321568508).

Almost surely, 2^101354453101 is an apocalyptic number.

101354453101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101354453101 is a deficient number, since it is larger than the sum of its proper divisors (15790643027).

101354453101 is a wasteful number, since it uses less digits than its factorization.

101354453101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336012.

The product of its (nonzero) digits is 3600, while the sum is 28.

It can be divided in two parts, 101354 and 453101, that added together give a palindrome (554455).

The spelling of 101354453101 in words is "one hundred one billion, three hundred fifty-four million, four hundred fifty-three thousand, one hundred one".