1102141200 has 240 divisors, whose sum is σ = 3676340096. Its totient is φ = 282009600.

The previous prime is 1102141199. The next prime is 1102141207. The reversal of 1102141200 is 21412011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (1102141207) 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, 4573080 + ... + 4573320.

Almost surely, 2^1102141200 is an apocalyptic number.

1102141200 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 1102141200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838170048).

1102141200 is an abundant number, since it is smaller than the sum of its proper divisors (2574198896).

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

1102141200 is a wasteful number, since it uses less digits than its factorization.

1102141200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 391 counting only the distinct ones).

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

The square root of 1102141200 is about 33198.5120148479. The cubic root of 1102141200 is about 1032.9494747202.

Adding to 1102141200 its reverse (21412011), we get a palindrome (1123553211).

It can be divided in two parts, 1 and 102141200, that added together give a palindrome (102141201).

The spelling of 1102141200 in words is "one billion, one hundred two million, one hundred forty-one thousand, two hundred".