1100210102012 has 144 divisors (see below), whose sum is σ = 2374078242816. Its totient is φ = 444102624000.

The previous prime is 1100210102009. The next prime is 1100210102071. The reversal of 1100210102012 is 2102010120011.

It is a junction number, because it is equal to n+sod(n) for n = 1100210101984 and 1100210102002.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 107363873 + ... + 107374119.

It is an arithmetic number, because the mean of its divisors is an integer number (16486654464).

Almost surely, 2^{1100210102012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100210102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187039121408).

1100210102012 is an abundant number, since it is smaller than the sum of its proper divisors (1273868140804).

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

1100210102012 is a wasteful number, since it uses less digits than its factorization.

1100210102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10768 (or 10759 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1100210102012 its reverse (2102010120011), we get a palindrome (3202220222023).

The spelling of 1100210102012 in words is "one trillion, one hundred billion, two hundred ten million, one hundred two thousand, twelve".