11102010100002 has 12 divisors (see below), whose sum is σ = 24054355216710. Its totient is φ = 3700670033328.

The previous prime is 11102010099991. The next prime is 11102010100003. The reversal of 11102010100002 is 20000101020111.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 7228360250721 + 3873649849281 = 2688561^2 + 1968159^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (11102010100003) 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 5 ways as a sum of consecutive naturals, for example, 308389169427 + ... + 308389169462.

Almost surely, 2^{11102010100002} is an apocalyptic number.

11102010100002 is an abundant number, since it is smaller than the sum of its proper divisors (12952345116708).

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

11102010100002 is a wasteful number, since it uses less digits than its factorization.

11102010100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616778338897 (or 616778338894 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11102010100002 its reverse (20000101020111), we get a palindrome (31102111120113).

The spelling of 11102010100002 in words is "eleven trillion, one hundred two billion, ten million, one hundred thousand, two".