101222110202220 has 576 divisors, whose sum is σ = 378898591518720. Its totient is φ = 21361085577216.

The previous prime is 101222110202123. The next prime is 101222110202233. The reversal of 101222110202220 is 22202011222101.

It is a happy number.

101222110202220 is a `hidden beast` number, since 1 + 0 + 12 + 221 + 10 + 202 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 101222110202193 and 101222110202202.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3165846154 + ... + 3165878126.

It is an arithmetic number, because the mean of its divisors is an integer number (657810054720).

Almost surely, 2^{101222110202220} is an apocalyptic number.

101222110202220 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 101222110202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189449295759360).

101222110202220 is an abundant number, since it is smaller than the sum of its proper divisors (277676481316500).

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

101222110202220 is a wasteful number, since it uses less digits than its factorization.

101222110202220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35814 (or 35809 counting only the distinct ones).

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

Adding to 101222110202220 its reverse (22202011222101), we get a palindrome (123424121424321).

The spelling of 101222110202220 in words is "one hundred one trillion, two hundred twenty-two billion, one hundred ten million, two hundred two thousand, two hundred twenty".