11100202201000 has 384 divisors, whose sum is σ = 29689746428160. Its totient is φ = 3852028224000.

The previous prime is 11100202200991. The next prime is 11100202201013. The reversal of 11100202201000 is 10220200111.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2833851042 + ... + 2833854958.

It is an arithmetic number, because the mean of its divisors is an integer number (77317047990).

Almost surely, 2^{11100202201000} is an apocalyptic number.

11100202201000 is a gapful number since it is divisible by the number (10) 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 11100202201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14844873214080).

11100202201000 is an abundant number, since it is smaller than the sum of its proper divisors (18589544227160).

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

11100202201000 is a wasteful number, since it uses less digits than its factorization.

11100202201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4445 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11100202201000 its reverse (10220200111), we get a palindrome (11110422401111).

The spelling of 11100202201000 in words is "eleven trillion, one hundred billion, two hundred two million, two hundred one thousand".