101031223213300 has 288 divisors, whose sum is σ = 237009830400000. Its totient is φ = 37260987240960.

The previous prime is 101031223213289. The next prime is 101031223213307. The reversal of 101031223213300 is 3312322130101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101031223213307) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20210284201 + ... + 20210289199.

It is an arithmetic number, because the mean of its divisors is an integer number (822950800000).

Almost surely, 2^{101031223213300} is an apocalyptic number.

101031223213300 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 101031223213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118504915200000).

101031223213300 is an abundant number, since it is smaller than the sum of its proper divisors (135978607186700).

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

101031223213300 is a wasteful number, since it uses less digits than its factorization.

101031223213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6303 (or 6296 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 101031223213300 its reverse (3312322130101), we get a palindrome (104343545343401).

The spelling of 101031223213300 in words is "one hundred one trillion, thirty-one billion, two hundred twenty-three million, two hundred thirteen thousand, three hundred".