202201120020200 has 288 divisors, whose sum is σ = 579648462903000. Its totient is φ = 65179575336960.

The previous prime is 202201120020173. The next prime is 202201120020209. The reversal of 202201120020200 is 2020021102202.

It can be written as a sum of positive squares in 12 ways, for example, as 1684248501796 + 200516871518404 = 1297786^2 + 14160398^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (202201120020209) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 158133026 + ... + 159406574.

Almost surely, 2^{202201120020200} is an apocalyptic number.

202201120020200 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 202201120020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289824231451500).

202201120020200 is an abundant number, since it is smaller than the sum of its proper divisors (377447342882800).

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

202201120020200 is a wasteful number, since it uses less digits than its factorization.

202201120020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274549 (or 1274533 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 202201120020200 its reverse (2020021102202), we get a palindrome (204221141122402).

The spelling of 202201120020200 in words is "two hundred two trillion, two hundred one billion, one hundred twenty million, twenty thousand, two hundred".