1102202013000 has 256 divisors, whose sum is σ = 3757644483840. Its totient is φ = 266762496000.

The previous prime is 1102202012969. The next prime is 1102202013037. The reversal of 1102202013000 is 3102022011.

It is a super-2 number, since 2×1102202013000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20333934 + ... + 20388066.

It is an arithmetic number, because the mean of its divisors is an integer number (14678298765).

Almost surely, 2^{1102202013000} is an apocalyptic number.

1102202013000 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 1102202013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1878822241920).

1102202013000 is an abundant number, since it is smaller than the sum of its proper divisors (2655442470840).

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

1102202013000 is a wasteful number, since it uses less digits than its factorization.

1102202013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54785 (or 54771 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1102202013000 its reverse (3102022011), we get a palindrome (1105304035011).

The spelling of 1102202013000 in words is "one trillion, one hundred two billion, two hundred two million, thirteen thousand".