101223132021300 has 144 divisors (see below), whose sum is σ = 300869122643712. Its totient is φ = 26256192192000.

The previous prime is 101223132021289. The next prime is 101223132021313. The reversal of 101223132021300 is 3120231322101.

It is a super-2 number, since 2×101223132021300² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39849109 + ... + 42313091.

It is an arithmetic number, because the mean of its divisors is an integer number (2089368907248).

Almost surely, 2^{101223132021300} is an apocalyptic number.

101223132021300 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 101223132021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150434561321856).

101223132021300 is an abundant number, since it is smaller than the sum of its proper divisors (199645990622412).

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

101223132021300 is a wasteful number, since it uses less digits than its factorization.

101223132021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2467738 (or 2467731 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 101223132021300 its reverse (3120231322101), we get a palindrome (104343363343401).

The spelling of 101223132021300 in words is "one hundred one trillion, two hundred twenty-three billion, one hundred thirty-two million, twenty-one thousand, three hundred".