1102221311010 has 128 divisors (see below), whose sum is σ = 2728963657728. Its totient is φ = 284741568000.

The previous prime is 1102221310963. The next prime is 1102221311011. The reversal of 1102221311010 is 101131222011.

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

It is not an unprimeable number, because it can be changed into a prime (1102221311011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102326925 + ... + 102337695.

It is an arithmetic number, because the mean of its divisors is an integer number (21320028576).

Almost surely, 2^{1102221311010} is an apocalyptic number.

1102221311010 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 1102221311010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364481828864).

1102221311010 is an abundant number, since it is smaller than the sum of its proper divisors (1626742346718).

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

1102221311010 is a wasteful number, since it uses less digits than its factorization.

1102221311010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11400.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1102221311010 its reverse (101131222011), we get a palindrome (1203352533021).

The spelling of 1102221311010 in words is "one trillion, one hundred two billion, two hundred twenty-one million, three hundred eleven thousand, ten".