1101122210100 has 576 divisors, whose sum is σ = 3684004208640. Its totient is φ = 251328000000.

The previous prime is 1101122210057. The next prime is 1101122210161. The reversal of 1101122210100 is 10122211011.

It is a super-3 number, since 3×1101122210100³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1832149800 + ... + 1832150400.

It is an arithmetic number, because the mean of its divisors is an integer number (6395840640).

Almost surely, 2^{1101122210100} is an apocalyptic number.

1101122210100 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 1101122210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842002104320).

1101122210100 is an abundant number, since it is smaller than the sum of its proper divisors (2582881998540).

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

1101122210100 is a wasteful number, since it uses less digits than its factorization.

1101122210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 985 counting only the distinct ones).

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

Adding to 1101122210100 its reverse (10122211011), we get a palindrome (1111244421111).

It can be divided in two parts, 11011 and 22210100, that added together give a triangular number (22221111 = T₆₆₆₆).

The spelling of 1101122210100 in words is "one trillion, one hundred one billion, one hundred twenty-two million, two hundred ten thousand, one hundred".