202103023201100 has 432 divisors, whose sum is σ = 535876474085568. Its totient is φ = 65895290173440.

The previous prime is 202103023201087. The next prime is 202103023201237. The reversal of 202103023201100 is 1102320301202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2527100714 + ... + 2527180686.

It is an arithmetic number, because the mean of its divisors is an integer number (1240454801124).

Almost surely, 2^{202103023201100} is an apocalyptic number.

202103023201100 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 202103023201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267938237042784).

202103023201100 is an abundant number, since it is smaller than the sum of its proper divisors (333773450884468).

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

202103023201100 is a wasteful number, since it uses less digits than its factorization.

202103023201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80354 (or 80340 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 202103023201100 its reverse (1102320301202), we get a palindrome (203205343502302).

The spelling of 202103023201100 in words is "two hundred two trillion, one hundred three billion, twenty-three million, two hundred one thousand, one hundred".