101222120122200 has 1152 divisors, whose sum is σ = 426293322624000. Its totient is φ = 20910622003200.

The previous prime is 101222120122183. The next prime is 101222120122219. The reversal of 101222120122200 is 2221021222101.

It is a happy number.

101222120122200 is a `hidden beast` number, since 1 + 0 + 1 + 222 + 120 + 122 + 200 = 666.

It is a super-2 number, since 2×101222120122200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 287 ways as a sum of consecutive naturals, for example, 26311960677 + ... + 26311964523.

It is an arithmetic number, because the mean of its divisors is an integer number (370046287000).

Almost surely, 2^{101222120122200} is an apocalyptic number.

101222120122200 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 101222120122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213146661312000).

101222120122200 is an abundant number, since it is smaller than the sum of its proper divisors (325071202501800).

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

101222120122200 is a wasteful number, since it uses less digits than its factorization.

101222120122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101222120122200 its reverse (2221021222101), we get a palindrome (103443141344301).

The spelling of 101222120122200 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, two hundred".