11002010101200 has 150 divisors (see below), whose sum is σ = 39485331492134. Its totient is φ = 2933869351680.

The previous prime is 11002010101193. The next prime is 11002010101207. The reversal of 11002010101200 is 210101020011.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11002010101193) and next prime (11002010101207).

It can be written as a sum of positive squares in 3 ways, for example, as 1029096629136 + 9972913472064 = 1014444^2 + 3157992^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11002010101207) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 169751707 + ... + 169816506.

Almost surely, 2^{11002010101200} is an apocalyptic number.

11002010101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11002010101200 is an abundant number, since it is smaller than the sum of its proper divisors (28483321390934).

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

11002010101200 is a wasteful number, since it uses less digits than its factorization.

11002010101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339568243 (or 339568223 counting only the distinct ones).

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

Adding to 11002010101200 its reverse (210101020011), we get a palindrome (11212111121211).

The spelling of 11002010101200 in words is "eleven trillion, two billion, ten million, one hundred one thousand, two hundred".