202201120100000 has 288 divisors, whose sum is σ = 576663610666752. Its totient is φ = 68349657600000.

The previous prime is 202201120099961. The next prime is 202201120100003. The reversal of 202201120100000 is 1021102202.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (202201120100003) 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, 47665784 + ... + 51734216.

It is an arithmetic number, because the mean of its divisors is an integer number (2002304203704).

Almost surely, 2^{202201120100000} is an apocalyptic number.

202201120100000 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 202201120100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288331805333376).

202201120100000 is an abundant number, since it is smaller than the sum of its proper divisors (374462490566752).

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

202201120100000 is an frugal number, since it uses more digits than its factorization.

202201120100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068546 (or 4068518 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 202201120100000 its reverse (1021102202), we get a palindrome (202202141202202).

The spelling of 202201120100000 in words is "two hundred two trillion, two hundred one billion, one hundred twenty million, one hundred thousand".