1100210122100 has 288 divisors, whose sum is σ = 2713026355200. Its totient is φ = 385067865600.

The previous prime is 1100210122093. The next prime is 1100210122103. The reversal of 1100210122100 is 12210120011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100210122103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1079695391 + ... + 1079696409.

It is an arithmetic number, because the mean of its divisors is an integer number (9420230400).

Almost surely, 2^{1100210122100} is an apocalyptic number.

1100210122100 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 1100210122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1356513177600).

1100210122100 is an abundant number, since it is smaller than the sum of its proper divisors (1612816233100).

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

1100210122100 is a wasteful number, since it uses less digits than its factorization.

1100210122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1896 counting only the distinct ones).

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

Adding to 1100210122100 its reverse (12210120011), we get a palindrome (1112420242111).

The spelling of 1100210122100 in words is "one trillion, one hundred billion, two hundred ten million, one hundred twenty-two thousand, one hundred".