1100102212110 has 256 divisors, whose sum is σ = 3103610121216. Its totient is φ = 246604800000.

The previous prime is 1100102212109. The next prime is 1100102212129. The reversal of 1100102212110 is 112122010011.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 74218500 + ... + 74233320.

It is an arithmetic number, because the mean of its divisors is an integer number (12123477036).

Almost surely, 2^{1100102212110} is an apocalyptic number.

1100102212110 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 1100102212110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551805060608).

1100102212110 is an abundant number, since it is smaller than the sum of its proper divisors (2003507909106).

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

1100102212110 is a wasteful number, since it uses less digits than its factorization.

1100102212110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15091.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100102212110 its reverse (112122010011), we get a palindrome (1212224222121).

The spelling of 1100102212110 in words is "one trillion, one hundred billion, one hundred two million, two hundred twelve thousand, one hundred ten".