101120221102200 has 192 divisors, whose sum is σ = 323625817574400. Its totient is φ = 26092225612800.

The previous prime is 101120221102133. The next prime is 101120221102249. The reversal of 101120221102200 is 2201122021101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101120221102200.

It is a congruent number.

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, 147770436 + ... + 148453164.

It is an arithmetic number, because the mean of its divisors is an integer number (1685551133200).

Almost surely, 2^{101120221102200} is an apocalyptic number.

101120221102200 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 101120221102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161812908787200).

101120221102200 is an abundant number, since it is smaller than the sum of its proper divisors (222505596472200).

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

101120221102200 is a wasteful number, since it uses less digits than its factorization.

101120221102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690742 (or 690733 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101120221102200 its reverse (2201122021101), we get a palindrome (103321343123301).

The spelling of 101120221102200 in words is "one hundred one trillion, one hundred twenty billion, two hundred twenty-one million, one hundred two thousand, two hundred".