1102102201200 has 1920 divisors, whose sum is σ = 4900786329600. Its totient is φ = 205590528000.

The previous prime is 1102102201181. The next prime is 1102102201219. The reversal of 1102102201200 is 21022012011.

It is an interprime number because it is at equal distance from previous prime (1102102201181) and next prime (1102102201219).

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 383 ways as a sum of consecutive naturals, for example, 12383170756 + ... + 12383170844.

It is an arithmetic number, because the mean of its divisors is an integer number (2552492880).

Almost surely, 2^{1102102201200} is an apocalyptic number.

1102102201200 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 1102102201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450393164800).

1102102201200 is an abundant number, since it is smaller than the sum of its proper divisors (3798684128400).

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

1102102201200 is a wasteful number, since it uses less digits than its factorization.

1102102201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1102102201200 its reverse (21022012011), we get a palindrome (1123124213211).

It can be divided in two parts, 1 and 102102201200, that added together give a palindrome (102102201201).

The spelling of 1102102201200 in words is "one trillion, one hundred two billion, one hundred two million, two hundred one thousand, two hundred".