11010201120100 has 288 divisors, whose sum is σ = 30115432488960. Its totient is φ = 3400860695040.

The previous prime is 11010201120091. The next prime is 11010201120109. The reversal of 11010201120100 is 102110201011.

It is an interprime number because it is at equal distance from previous prime (11010201120091) and next prime (11010201120109).

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 (11010201120109) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 153508447 + ... + 153580153.

It is an arithmetic number, because the mean of its divisors is an integer number (104567473920).

Almost surely, 2^{11010201120100} is an apocalyptic number.

11010201120100 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 11010201120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15057716244480).

11010201120100 is an abundant number, since it is smaller than the sum of its proper divisors (19105231368860).

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

11010201120100 is a wasteful number, since it uses less digits than its factorization.

11010201120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72147 (or 72140 counting only the distinct ones).

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

Adding to 11010201120100 its reverse (102110201011), we get a palindrome (11112311321111).

The spelling of 11010201120100 in words is "eleven trillion, ten billion, two hundred one million, one hundred twenty thousand, one hundred".