101103311233200 has 240 divisors, whose sum is σ = 325521913280000. Its totient is φ = 26823448857600.

The previous prime is 101103311233187. The next prime is 101103311233219. The reversal of 101103311233200 is 2332113301101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-4 number, since 4×101103311233200⁴ (a number of 57 digits) contains 4444 as substring.

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, 230347551 + ... + 230786049.

Almost surely, 2^{101103311233200} is an apocalyptic number.

101103311233200 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 101103311233200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162760956640000).

101103311233200 is an abundant number, since it is smaller than the sum of its proper divisors (224418602046800).

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

101103311233200 is a wasteful number, since it uses less digits than its factorization.

101103311233200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439500 (or 439489 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 101103311233200 its reverse (2332113301101), we get a palindrome (103435424534301).

The spelling of 101103311233200 in words is "one hundred one trillion, one hundred three billion, three hundred eleven million, two hundred thirty-three thousand, two hundred".