101101020211200 has 288 divisors, whose sum is σ = 334253395476000. Its totient is φ = 26958042562560.

The previous prime is 101101020211111. The next prime is 101101020211207. The reversal of 101101020211200 is 2112020101101.

It is a super-3 number, since 3×101101020211200³ (a number of 43 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101101020211207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2785210651 + ... + 2785246949.

It is an arithmetic number, because the mean of its divisors is an integer number (1160602067625).

Almost surely, 2^{101101020211200} is an apocalyptic number.

101101020211200 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 101101020211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167126697738000).

101101020211200 is an abundant number, since it is smaller than the sum of its proper divisors (233152375264800).

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

101101020211200 is a wasteful number, since it uses less digits than its factorization.

101101020211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54467 (or 54442 counting only the distinct ones).

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

Adding to 101101020211200 its reverse (2112020101101), we get a palindrome (103213040312301).

The spelling of 101101020211200 in words is "one hundred one trillion, one hundred one billion, twenty million, two hundred eleven thousand, two hundred".