11101100029932 has 144 divisors (see below), whose sum is σ = 29829392208000. Its totient is φ = 3186219525120.

The previous prime is 11101100029867. The next prime is 11101100029933. The reversal of 11101100029932 is 23992000110111.

It is a self number, because there is not a number n which added to its sum of digits gives 11101100029932.

It is not an unprimeable number, because it can be changed into a prime (11101100029933) 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, 241048444 + ... + 241094492.

It is an arithmetic number, because the mean of its divisors is an integer number (207148557000).

Almost surely, 2^{11101100029932} is an apocalyptic number.

11101100029932 is a gapful number since it is divisible by the number (12) 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 11101100029932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14914696104000).

11101100029932 is an abundant number, since it is smaller than the sum of its proper divisors (18728292178068).

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

11101100029932 is a wasteful number, since it uses less digits than its factorization.

11101100029932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51164 (or 51143 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 30.

The spelling of 11101100029932 in words is "eleven trillion, one hundred one billion, one hundred million, twenty-nine thousand, nine hundred thirty-two".