11000101220010 has 192 divisors, whose sum is σ = 34408892344320. Its totient is φ = 2381799530880.

The previous prime is 11000101219957. The next prime is 11000101220039. The reversal of 11000101220010 is 1002210100011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11000101219974 and 11000101220001.

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, 219875859 + ... + 219925881.

It is an arithmetic number, because the mean of its divisors is an integer number (179212980960).

Almost surely, 2^{11000101220010} is an apocalyptic number.

11000101220010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11000101220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204446172160).

11000101220010 is an abundant number, since it is smaller than the sum of its proper divisors (23408791124310).

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

11000101220010 is a wasteful number, since it uses less digits than its factorization.

11000101220010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68433 (or 68430 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11000101220010 its reverse (1002210100011), we get a palindrome (12002311320021).

The spelling of 11000101220010 in words is "eleven trillion, one hundred one million, two hundred twenty thousand, ten".