11202221201010 has 256 divisors, whose sum is σ = 32464905753600. Its totient is φ = 2419609780224.

The previous prime is 11202221200987. The next prime is 11202221201027. The reversal of 11202221201010 is 1010212220211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 131970502 + ... + 132055358.

It is an arithmetic number, because the mean of its divisors is an integer number (126816038100).

Almost surely, 2^{11202221201010} is an apocalyptic number.

11202221201010 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 11202221201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16232452876800).

11202221201010 is an abundant number, since it is smaller than the sum of its proper divisors (21262684552590).

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

11202221201010 is a wasteful number, since it uses less digits than its factorization.

11202221201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85365.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11202221201010 its reverse (1010212220211), we get a palindrome (12212433421221).

It can be divided in two parts, 1120222 and 1201010, that added together give a palindrome (2321232).

The spelling of 11202221201010 in words is "eleven trillion, two hundred two billion, two hundred twenty-one million, two hundred one thousand, ten".