101101103102310 has 64 divisors (see below), whose sum is σ = 243282783633408. Its totient is φ = 26889171745664.

The previous prime is 101101103102221. The next prime is 101101103102323. The reversal of 101101103102310 is 13201301101101.

101101103102310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101101103102310² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101101103102310.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 522732784 + ... + 522926156.

It is an arithmetic number, because the mean of its divisors is an integer number (3801293494272).

Almost surely, 2^{101101103102310} is an apocalyptic number.

101101103102310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101103102310 is an abundant number, since it is smaller than the sum of its proper divisors (142181680531098).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101101103102310 is a wasteful number, since it uses less digits than its factorization.

101101103102310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239269.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101101103102310 its reverse (13201301101101), we get a palindrome (114302404203411).

The spelling of 101101103102310 in words is "one hundred one trillion, one hundred one billion, one hundred three million, one hundred two thousand, three hundred ten".