1102100111000 has 192 divisors, whose sum is σ = 3157856863200. Its totient is φ = 357975072000.

The previous prime is 1102100110999. The next prime is 1102100111009. The reversal of 1102100111000 is 1110012011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102100111009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339110 + ... + 1522890.

Almost surely, 2^{1102100111000} is an apocalyptic number.

1102100111000 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 1102100111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1578928431600).

1102100111000 is an abundant number, since it is smaller than the sum of its proper divisors (2055756752200).

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

1102100111000 is a wasteful number, since it uses less digits than its factorization.

1102100111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183835 (or 1183814 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1102100111000 its reverse (1110012011), we get a palindrome (1103210123011).

The spelling of 1102100111000 in words is "one trillion, one hundred two billion, one hundred million, one hundred eleven thousand".