101022022022200 has 96 divisors (see below), whose sum is σ = 236519838324000. Its totient is φ = 40126186903040.

The previous prime is 101022022022197. The next prime is 101022022022287. The reversal of 101022022022200 is 2220220220101.

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 23 ways as a sum of consecutive naturals, for example, 104624022 + ... + 105585178.

It is an arithmetic number, because the mean of its divisors is an integer number (2463748315875).

Almost surely, 2^{101022022022200} is an apocalyptic number.

101022022022200 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 101022022022200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118259919162000).

101022022022200 is an abundant number, since it is smaller than the sum of its proper divisors (135497816301800).

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

101022022022200 is a wasteful number, since it uses less digits than its factorization.

101022022022200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964849 (or 964840 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 101022022022200 its reverse (2220220220101), we get a palindrome (103242242242301).

The spelling of 101022022022200 in words is "one hundred one trillion, twenty-two billion, twenty-two million, twenty-two thousand, two hundred".