101222022022200 has 384 divisors, whose sum is σ = 359223723537600. Its totient is φ = 26186333184000.

The previous prime is 101222022022103. The next prime is 101222022022211. The reversal of 101222022022200 is 2220220222101.

101222022022200 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 220 + 220 + 2 + 220 + 0 = 666.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21941460 + ... + 26150940.

Almost surely, 2^{101222022022200} is an apocalyptic number.

101222022022200 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 101222022022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179611861768800).

101222022022200 is an abundant number, since it is smaller than the sum of its proper divisors (258001701515400).

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

101222022022200 is a wasteful number, since it uses less digits than its factorization.

101222022022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4209640 (or 4209625 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 101222022022200 its reverse (2220220222101), we get a palindrome (103442242244301).

The spelling of 101222022022200 in words is "one hundred one trillion, two hundred twenty-two billion, twenty-two million, twenty-two thousand, two hundred".