202002212102100 has 288 divisors, whose sum is σ = 593757091863936. Its totient is φ = 53018905804800.

The previous prime is 202002212102099. The next prime is 202002212102147. The reversal of 202002212102100 is 1201212200202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202002212102100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2353280382 + ... + 2353366218.

It is an arithmetic number, because the mean of its divisors is an integer number (2061656568972).

Almost surely, 2^{202002212102100} is an apocalyptic number.

202002212102100 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 202002212102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296878545931968).

202002212102100 is an abundant number, since it is smaller than the sum of its proper divisors (391754879761836).

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

202002212102100 is a wasteful number, since it uses less digits than its factorization.

202002212102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86475 (or 86468 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202002212102100 its reverse (1201212200202), we get a palindrome (203203424302302).

The spelling of 202002212102100 in words is "two hundred two trillion, two billion, two hundred twelve million, one hundred two thousand, one hundred".