101123322133300 has 18 divisors (see below), whose sum is σ = 219437609029478. Its totient is φ = 40449328853280.

The previous prime is 101123322133243. The next prime is 101123322133303. The reversal of 101123322133300 is 3331223321101.

101123322133300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 214144966564 + 100909177166736 = 462758^2 + 10045356^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101123322133303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505616610567 + ... + 505616610766.

Almost surely, 2^{101123322133300} is an apocalyptic number.

101123322133300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101123322133300 is an abundant number, since it is smaller than the sum of its proper divisors (118314286896178).

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

101123322133300 is a wasteful number, since it uses less digits than its factorization.

101123322133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011233221347 (or 1011233221340 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 101123322133300 its reverse (3331223321101), we get a palindrome (104454545454401).

The spelling of 101123322133300 in words is "one hundred one trillion, one hundred twenty-three billion, three hundred twenty-two million, one hundred thirty-three thousand, three hundred".