101132101300 has 72 divisors (see below), whose sum is σ = 223170216192. Its totient is φ = 39769008000.

The previous prime is 101132101289. The next prime is 101132101313. The reversal of 101132101300 is 3101231101.

It is a super-4 number, since 4×101132101300⁴ (a number of 45 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17705445 + ... + 17711155.

It is an arithmetic number, because the mean of its divisors is an integer number (3099586336).

Almost surely, 2^101132101300 is an apocalyptic number.

101132101300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101132101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111585108096).

101132101300 is an abundant number, since it is smaller than the sum of its proper divisors (122038114892).

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

101132101300 is a wasteful number, since it uses less digits than its factorization.

101132101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8689 (or 8682 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 101132101300 its reverse (3101231101), we get a palindrome (104233332401).

The spelling of 101132101300 in words is "one hundred one billion, one hundred thirty-two million, one hundred one thousand, three hundred".