1102710010000 has 75 divisors (see below), whose sum is σ = 2670025469133. Its totient is φ = 441042000000.

The previous prime is 1102710009983. The next prime is 1102710010007. The reversal of 1102710010000 is 100172011.

The square root of 1102710010000 is 1050100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1012623589264 + 90086420736 = 1006292^2 + 300144^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1102710010007) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 105004750 + ... + 105015250.

Almost surely, 2^{1102710010000} is an apocalyptic number.

1102710010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1102710010000 is the 1050100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102710010000

1102710010000 is an abundant number, since it is smaller than the sum of its proper divisors (1567315459133).

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

1102710010000 is an frugal number, since it uses more digits than its factorization.

1102710010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21030 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 13.

Adding to 1102710010000 its reverse (100172011), we get a palindrome (1102810182011).

The spelling of 1102710010000 in words is "one trillion, one hundred two billion, seven hundred ten million, ten thousand".