202033122100 has 144 divisors (see below), whose sum is σ = 483967649088. Its totient is φ = 72887592960.

The previous prime is 202033122079. The next prime is 202033122121. The reversal of 202033122100 is 1221330202.

It is an interprime number because it is at equal distance from previous prime (202033122079) and next prime (202033122121).

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, 3848227 + ... + 3900373.

It is an arithmetic number, because the mean of its divisors is an integer number (3360886452).

Almost surely, 2^202033122100 is an apocalyptic number.

202033122100 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 202033122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241983824544).

202033122100 is an abundant number, since it is smaller than the sum of its proper divisors (281934526988).

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

202033122100 is a wasteful number, since it uses less digits than its factorization.

202033122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52274 (or 52267 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 202033122100 its reverse (1221330202), we get a palindrome (203254452302).

The spelling of 202033122100 in words is "two hundred two billion, thirty-three million, one hundred twenty-two thousand, one hundred".