202001202032100 has 144 divisors (see below), whose sum is σ = 585810085629888. Its totient is φ = 53742275624960.

The previous prime is 202001202032083. The next prime is 202001202032101. The reversal of 202001202032100 is 1230202100202.

It is a happy number.

202001202032100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 202001202032100.

It is not an unprimeable number, because it can be changed into a prime (202001202032101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3128035012 + ... + 3128099588.

It is an arithmetic number, because the mean of its divisors is an integer number (4068125594652).

Almost surely, 2^{202001202032100} is an apocalyptic number.

202001202032100 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 202001202032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292905042814944).

202001202032100 is an abundant number, since it is smaller than the sum of its proper divisors (383808883597788).

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

202001202032100 is a wasteful number, since it uses less digits than its factorization.

202001202032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88574 (or 88567 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 202001202032100 its reverse (1230202100202), we get a palindrome (203231404132302).

The spelling of 202001202032100 in words is "two hundred two trillion, one billion, two hundred two million, thirty-two thousand, one hundred".