100202214224 has 80 divisors (see below), whose sum is σ = 228420796800. Its totient is φ = 41682719232.

The previous prime is 100202214223. The next prime is 100202214257. The reversal of 100202214224 is 422412202001.

It is a junction number, because it is equal to n+sod(n) for n = 100202214196 and 100202214205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100202214223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707482 + ... + 1765190.

It is an arithmetic number, because the mean of its divisors is an integer number (2855259960).

Almost surely, 2^100202214224 is an apocalyptic number.

100202214224 is a gapful number since it is divisible by the number (14) 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 100202214224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114210398400).

100202214224 is an abundant number, since it is smaller than the sum of its proper divisors (128218582576).

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

100202214224 is a wasteful number, since it uses less digits than its factorization.

100202214224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58180 (or 58174 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 100202214224 its reverse (422412202001), we get a palindrome (522614416225).

The spelling of 100202214224 in words is "one hundred billion, two hundred two million, two hundred fourteen thousand, two hundred twenty-four".