11101101203100 has 288 divisors, whose sum is σ = 32873490461952. Its totient is φ = 2891750400000.

The previous prime is 11101101203099. The next prime is 11101101203117. The reversal of 11101101203100 is 130210110111.

It is a super-2 number, since 2×11101101203100² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 972836395 + ... + 972847805.

It is an arithmetic number, because the mean of its divisors is an integer number (114144064104).

Almost surely, 2^{11101101203100} is an apocalyptic number.

11101101203100 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 11101101203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16436745230976).

11101101203100 is an abundant number, since it is smaller than the sum of its proper divisors (21772389258852).

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

11101101203100 is a wasteful number, since it uses less digits than its factorization.

11101101203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11957 (or 11950 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11101101203100 its reverse (130210110111), we get a palindrome (11231311313211).

The spelling of 11101101203100 in words is "eleven trillion, one hundred one billion, one hundred one million, two hundred three thousand, one hundred".