100200122022 has 384 divisors, whose sum is σ = 281212646400. Its totient is φ = 23142620160.

The previous prime is 100200121997. The next prime is 100200122023. The reversal of 100200122022 is 220221002001.

It is a junction number, because it is equal to n+sod(n) for n = 100200121989 and 100200122007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200122023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 437555004 + ... + 437555232.

It is an arithmetic number, because the mean of its divisors is an integer number (732324600).

Almost surely, 2^100200122022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100200122022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140606323200).

100200122022 is an abundant number, since it is smaller than the sum of its proper divisors (181012524378).

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

100200122022 is a wasteful number, since it uses less digits than its factorization.

100200122022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100200122022 its reverse (220221002001), we get a palindrome (320421124023).

It can be divided in two parts, 1002001 and 22022, that multiplied together give a palindrome (22066066022).

The spelling of 100200122022 in words is "one hundred billion, two hundred million, one hundred twenty-two thousand, twenty-two".