11432634220100 has 144 divisors (see below), whose sum is σ = 26409335475600. Its totient is φ = 4280956600320.

The previous prime is 11432634220069. The next prime is 11432634220121. The reversal of 11432634220100 is 102243623411.

It can be written as a sum of positive squares in 24 ways, for example, as 1009848127744 + 10422786092356 = 1004912^2 + 3228434^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402132686 + ... + 402161114.

It is an arithmetic number, because the mean of its divisors is an integer number (183398163025).

Almost surely, 2^{11432634220100} is an apocalyptic number.

11432634220100 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 11432634220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13204667737800).

11432634220100 is an abundant number, since it is smaller than the sum of its proper divisors (14976701255500).

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

11432634220100 is a wasteful number, since it uses less digits than its factorization.

11432634220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29722 (or 29715 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 11432634220100 its reverse (102243623411), we get a palindrome (11534877843511).

The spelling of 11432634220100 in words is "eleven trillion, four hundred thirty-two billion, six hundred thirty-four million, two hundred twenty thousand, one hundred".