101101221200 has 60 divisors (see below), whose sum is σ = 277595075040. Its totient is φ = 34663274880.

The previous prime is 101101221191. The next prime is 101101221253. The reversal of 101101221200 is 2122101101.

It is a super-3 number, since 3×101101221200³ (a number of 34 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18050990 + ... + 18056589.

It is an arithmetic number, because the mean of its divisors is an integer number (4626584584).

Almost surely, 2^101101221200 is an apocalyptic number.

101101221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101221200 is an abundant number, since it is smaller than the sum of its proper divisors (176493853840).

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

101101221200 is a wasteful number, since it uses less digits than its factorization.

101101221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36107604 (or 36107593 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101101221200 its reverse (2122101101), we get a palindrome (103223322301).

The spelling of 101101221200 in words is "one hundred one billion, one hundred one million, two hundred twenty-one thousand, two hundred".