11102001120100 has 72 divisors (see below), whose sum is σ = 26282860164288. Its totient is φ = 4036876924800.

The previous prime is 11102001120047. The next prime is 11102001120107. The reversal of 11102001120100 is 102110020111.

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

It is not an unprimeable number, because it can be changed into a prime (11102001120107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21239082 + ... + 21755518.

It is an arithmetic number, because the mean of its divisors is an integer number (365039724504).

Almost surely, 2^{11102001120100} is an apocalyptic number.

11102001120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102001120100 is an abundant number, since it is smaller than the sum of its proper divisors (15180859044188).

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

11102001120100 is a wasteful number, since it uses less digits than its factorization.

11102001120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536005 (or 535998 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 11102001120100 its reverse (102110020111), we get a palindrome (11204111140211).

It can be divided in two parts, 111020011 and 20100, that added together give a palindrome (111040111).

The spelling of 11102001120100 in words is "eleven trillion, one hundred two billion, one million, one hundred twenty thousand, one hundred".