11010101102000 has 1280 divisors, whose sum is σ = 38234088861696. Its totient is φ = 2950963200000.

The previous prime is 11010101101963. The next prime is 11010101102009. The reversal of 11010101102000 is 20110101011.

It is a happy number.

It is a super-2 number, since 2×11010101102000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (11010101102009) 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 255 ways as a sum of consecutive naturals, for example, 3437432399 + ... + 3437435601.

Almost surely, 2^{11010101102000} is an apocalyptic number.

11010101102000 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 11010101102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19117044430848).

11010101102000 is an abundant number, since it is smaller than the sum of its proper divisors (27223987759696).

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

11010101102000 is a wasteful number, since it uses less digits than its factorization.

11010101102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3375 (or 3359 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 11010101102000 its reverse (20110101011), we get a palindrome (11030211203011).

The spelling of 11010101102000 in words is "eleven trillion, ten billion, one hundred one million, one hundred two thousand".