1102122100000 has 144 divisors (see below), whose sum is σ = 2738957398632. Its totient is φ = 436480000000.

The previous prime is 1102122099983. The next prime is 1102122100003. The reversal of 1102122100000 is 12212011.

It can be written as a sum of positive squares in 12 ways, for example, as 318281018896 + 783841081104 = 564164^2 + 885348^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1102122100000.

It is not an unprimeable number, because it can be changed into a prime (1102122100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10045440 + ... + 10154560.

Almost surely, 2^{1102122100000} is an apocalyptic number.

1102122100000 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 1102122100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369478699316).

1102122100000 is an abundant number, since it is smaller than the sum of its proper divisors (1636835298632).

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

1102122100000 is an equidigital number, since it uses as much as digits as its factorization.

1102122100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109257 (or 109229 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1102122100000 its reverse (12212011), we get a palindrome (1102134312011).

The spelling of 1102122100000 in words is "one trillion, one hundred two billion, one hundred twenty-two million, one hundred thousand".