101303101221300 has 144 divisors (see below), whose sum is σ = 355277138932800. Its totient is φ = 24558327561600.

The previous prime is 101303101221299. The next prime is 101303101221379. The reversal of 101303101221300 is 3122101303101.

101303101221300 is a `hidden beast` number, since 1 + 0 + 1 + 30 + 310 + 1 + 2 + 21 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1705409715 + ... + 1705469114.

It is an arithmetic number, because the mean of its divisors is an integer number (2467202353700).

Almost surely, 2^{101303101221300} is an apocalyptic number.

101303101221300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101303101221300 is an abundant number, since it is smaller than the sum of its proper divisors (253974037711500).

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

101303101221300 is a wasteful number, since it uses less digits than its factorization.

101303101221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3410878863 (or 3410878850 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101303101221300 its reverse (3122101303101), we get a palindrome (104425202524401).

The spelling of 101303101221300 in words is "one hundred one trillion, three hundred three billion, one hundred one million, two hundred twenty-one thousand, three hundred".