11202121000110 has 128 divisors (see below), whose sum is σ = 27991198439424. Its totient is φ = 2866769625600.

The previous prime is 11202121000069. The next prime is 11202121000117. The reversal of 11202121000110 is 1100012120211.

It is a super-2 number, since 2×11202121000110² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11202121000117) 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 63 ways as a sum of consecutive naturals, for example, 29294967 + ... + 29674893.

It is an arithmetic number, because the mean of its divisors is an integer number (218681237808).

Almost surely, 2^{11202121000110} is an apocalyptic number.

11202121000110 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 11202121000110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13995599219712).

11202121000110 is an abundant number, since it is smaller than the sum of its proper divisors (16789077439314).

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

11202121000110 is a wasteful number, since it uses less digits than its factorization.

11202121000110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380338.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11202121000110 its reverse (1100012120211), we get a palindrome (12302133120321).

The spelling of 11202121000110 in words is "eleven trillion, two hundred two billion, one hundred twenty-one million, one hundred ten", and thus it is an aban number.