101121013200 has 120 divisors (see below), whose sum is σ = 324030072256. Its totient is φ = 26956800000.

The previous prime is 101121013187. The next prime is 101121013237. The reversal of 101121013200 is 2310121101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4201200 + ... + 4225200.

Almost surely, 2^101121013200 is an apocalyptic number.

101121013200 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 101121013200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162015036128).

101121013200 is an abundant number, since it is smaller than the sum of its proper divisors (222909059056).

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

101121013200 is a wasteful number, since it uses less digits than its factorization.

101121013200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27533 (or 27522 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101121013200 its reverse (2310121101), we get a palindrome (103431134301).

The spelling of 101121013200 in words is "one hundred one billion, one hundred twenty-one million, thirteen thousand, two hundred".