1102112020100 has 432 divisors, whose sum is σ = 3013207142400. Its totient is φ = 342553536000.

The previous prime is 1102112020019. The next prime is 1102112020103. The reversal of 1102112020100 is 10202112011.

It is not an unprimeable number, because it can be changed into a prime (1102112020103) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 1839919601 + ... + 1839920199.

Almost surely, 2^{1102112020100} is an apocalyptic number.

1102112020100 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 1102112020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1506603571200).

1102112020100 is an abundant number, since it is smaller than the sum of its proper divisors (1911095122300).

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

1102112020100 is a wasteful number, since it uses less digits than its factorization.

1102112020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 880 counting only the distinct ones).

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

Adding to 1102112020100 its reverse (10202112011), we get a palindrome (1112314132111).

The spelling of 1102112020100 in words is "one trillion, one hundred two billion, one hundred twelve million, twenty thousand, one hundred".