101101200211200 has 216 divisors, whose sum is σ = 381320027303488. Its totient is φ = 23108845731840.

The previous prime is 101101200211171. The next prime is 101101200211243. The reversal of 101101200211200 is 2112002101101.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 375986137 + ... + 376254936.

Almost surely, 2^{101101200211200} is an apocalyptic number.

101101200211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101200211200 is an abundant number, since it is smaller than the sum of its proper divisors (280218827092288).

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

101101200211200 is an equidigital number, since it uses as much as digits as its factorization.

101101200211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752241109 (or 752241090 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101101200211200 its reverse (2112002101101), we get a palindrome (103213202312301).

The spelling of 101101200211200 in words is "one hundred one trillion, one hundred one billion, two hundred million, two hundred eleven thousand, two hundred".