202114241000 has 256 divisors, whose sum is σ = 584498903040. Its totient is φ = 63830630400.

The previous prime is 202114240997. The next prime is 202114241003. The reversal of 202114241000 is 142411202.

It is an interprime number because it is at equal distance from previous prime (202114240997) and next prime (202114241003).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 202114241000.

It is not an unprimeable number, because it can be changed into a prime (202114241003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5574932 + ... + 5611068.

It is an arithmetic number, because the mean of its divisors is an integer number (2283198840).

Almost surely, 2^202114241000 is an apocalyptic number.

202114241000 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 202114241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292249451520).

202114241000 is an abundant number, since it is smaller than the sum of its proper divisors (382384662040).

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

202114241000 is a wasteful number, since it uses less digits than its factorization.

202114241000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36229 (or 36215 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202114241000 its reverse (142411202), we get a palindrome (202256652202).

The spelling of 202114241000 in words is "two hundred two billion, one hundred fourteen million, two hundred forty-one thousand".