101323101101100 has 72 divisors (see below), whose sum is σ = 293350765755600. Its totient is φ = 27002050318080.

The previous prime is 101323101101069. The next prime is 101323101101107. The reversal of 101323101101100 is 1101101323101.

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 101323101101100.

It is not an unprimeable number, because it can be changed into a prime (101323101101107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108555207 + ... + 109484606.

It is an arithmetic number, because the mean of its divisors is an integer number (4074316191050).

Almost surely, 2^{101323101101100} is an apocalyptic number.

101323101101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101323101101100 is an abundant number, since it is smaller than the sum of its proper divisors (192027664654500).

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

101323101101100 is a wasteful number, since it uses less digits than its factorization.

101323101101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218041379 (or 218041372 counting only the distinct ones).

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

Adding to 101323101101100 its reverse (1101101323101), we get a palindrome (102424202424201).

The spelling of 101323101101100 in words is "one hundred one trillion, three hundred twenty-three billion, one hundred one million, one hundred one thousand, one hundred".