101220110122200 has 192 divisors, whose sum is σ = 316105042268160. Its totient is φ = 26792267473920.

The previous prime is 101220110122189. The next prime is 101220110122213. The reversal of 101220110122200 is 2221011022101.

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 101220110122200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 878413789 + ... + 878529011.

It is an arithmetic number, because the mean of its divisors is an integer number (1646380428480).

Almost surely, 2^{101220110122200} is an apocalyptic number.

101220110122200 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 101220110122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158052521134080).

101220110122200 is an abundant number, since it is smaller than the sum of its proper divisors (214884932145960).

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

101220110122200 is a wasteful number, since it uses less digits than its factorization.

101220110122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126066 (or 126057 counting only the distinct ones).

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

Adding to 101220110122200 its reverse (2221011022101), we get a palindrome (103441121144301).

The spelling of 101220110122200 in words is "one hundred one trillion, two hundred twenty billion, one hundred ten million, one hundred twenty-two thousand, two hundred".