11101102112100 has 2304 divisors, whose sum is σ = 45578842767360. Its totient is φ = 2012774400000.

The previous prime is 11101102112099. The next prime is 11101102112101. The reversal of 11101102112100 is 121120110111.

It is an interprime number because it is at equal distance from previous prime (11101102112099) and next prime (11101102112101).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11101102112101) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 98239841644 + ... + 98239841756.

It is an arithmetic number, because the mean of its divisors is an integer number (19782483840).

Almost surely, 2^{11101102112100} is an apocalyptic number.

11101102112100 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 11101102112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22789421383680).

11101102112100 is an abundant number, since it is smaller than the sum of its proper divisors (34477740655260).

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

11101102112100 is a wasteful number, since it uses less digits than its factorization.

11101102112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 11101102112100 its reverse (121120110111), we get a palindrome (11222222222211).

The spelling of 11101102112100 in words is "eleven trillion, one hundred one billion, one hundred two million, one hundred twelve thousand, one hundred".