11100201000000 has 2352 divisors, whose sum is σ = 46786201128960. Its totient is φ = 2271744000000.

The previous prime is 11100200999999. The next prime is 11100201000013. The reversal of 11100201000000 is 10200111.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 188138999971 + ... + 188139000029.

Almost surely, 2^{11100201000000} is an apocalyptic number.

11100201000000 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 11100201000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23393100564480).

11100201000000 is an abundant number, since it is smaller than the sum of its proper divisors (35686000128960).

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

11100201000000 is an frugal number, since it uses more digits than its factorization.

11100201000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 11100201000000 its reverse (10200111), we get a palindrome (11100211200111).

The spelling of 11100201000000 in words is "eleven trillion, one hundred billion, two hundred one million", and thus it is an aban number.