1102211110000 has 800 divisors, whose sum is σ = 3611893824000. Its totient is φ = 314565120000.

The previous prime is 1102211109949. The next prime is 1102211110109. The reversal of 1102211110000 is 111122011.

It is a super-4 number, since 4×1102211110000⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1491489631 + ... + 1491490369.

It is an arithmetic number, because the mean of its divisors is an integer number (4514867280).

Almost surely, 2^{1102211110000} is an apocalyptic number.

1102211110000 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 1102211110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805946912000).

1102211110000 is an abundant number, since it is smaller than the sum of its proper divisors (2509682714000).

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

1102211110000 is a wasteful number, since it uses less digits than its factorization.

1102211110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1102211110000 its reverse (111122011), we get a palindrome (1102322232011).

It can be divided in two parts, 110221 and 1110000, that added together give a palindrome (1220221).

The spelling of 1102211110000 in words is "one trillion, one hundred two billion, two hundred eleven million, one hundred ten thousand".