11101210101300 has 432 divisors, whose sum is σ = 37590703416000. Its totient is φ = 2507796480000.

The previous prime is 11101210101257. The next prime is 11101210101307. The reversal of 11101210101300 is 310101210111.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11101210101307) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96266076 + ... + 96381324.

Almost surely, 2^{11101210101300} is an apocalyptic number.

11101210101300 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 11101210101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18795351708000).

11101210101300 is an abundant number, since it is smaller than the sum of its proper divisors (26489493314700).

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

11101210101300 is a wasteful number, since it uses less digits than its factorization.

11101210101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115412 (or 115388 counting only the distinct ones).

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

Adding to 11101210101300 its reverse (310101210111), we get a palindrome (11411311311411).

The spelling of 11101210101300 in words is "eleven trillion, one hundred one billion, two hundred ten million, one hundred one thousand, three hundred".