202124314100 has 144 divisors (see below), whose sum is σ = 457950647616. Its totient is φ = 77366016000.

The previous prime is 202124314097. The next prime is 202124314141. The reversal of 202124314100 is 1413421202.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74009735 + ... + 74012465.

Almost surely, 2^202124314100 is an apocalyptic number.

202124314100 is a gapful number since it is divisible by the number (20) 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 202124314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228975323808).

202124314100 is an abundant number, since it is smaller than the sum of its proper divisors (255826333516).

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

202124314100 is a wasteful number, since it uses less digits than its factorization.

202124314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3106 (or 3099 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 202124314100 its reverse (1413421202), we get a palindrome (203537735302).

The spelling of 202124314100 in words is "two hundred two billion, one hundred twenty-four million, three hundred fourteen thousand, one hundred".