11302100100000 has 432 divisors, whose sum is σ = 41660836098336. Its totient is φ = 3013886880000.

The previous prime is 11302100099981. The next prime is 11302100100041. The reversal of 11302100100000 is 100120311.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24067447 + ... + 24532553.

It is an arithmetic number, because the mean of its divisors is an integer number (96437120598).

Almost surely, 2^{11302100100000} is an apocalyptic number.

11302100100000 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 11302100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20830418049168).

11302100100000 is an abundant number, since it is smaller than the sum of its proper divisors (30358735998336).

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

11302100100000 is an frugal number, since it uses more digits than its factorization.

11302100100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465157 (or 465117 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 11302100100000 its reverse (100120311), we get a palindrome (11302200220311).

The spelling of 11302100100000 in words is "eleven trillion, three hundred two billion, one hundred million, one hundred thousand".