202101002120200 has 192 divisors, whose sum is σ = 473566809315600. Its totient is φ = 80209457971200.

The previous prime is 202101002120153. The next prime is 202101002120221. The reversal of 202101002120200 is 2021200101202.

It is a happy number.

202101002120200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 64337307270916 + 137763694849284 = 8021054^2 + 11737278^2 .

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, 24370067254 + ... + 24370075546.

Almost surely, 2^{202101002120200} is an apocalyptic number.

202101002120200 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 202101002120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236783404657800).

202101002120200 is an abundant number, since it is smaller than the sum of its proper divisors (271465807195400).

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

202101002120200 is a wasteful number, since it uses less digits than its factorization.

202101002120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10092 (or 10083 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 202101002120200 its reverse (2021200101202), we get a palindrome (204122202221402).

The spelling of 202101002120200 in words is "two hundred two trillion, one hundred one billion, two million, one hundred twenty thousand, two hundred".