11121010002000 has 240 divisors, whose sum is σ = 40530764222208. Its totient is φ = 2836663315200.

The previous prime is 11121010001989. The next prime is 11121010002029. The reversal of 11121010002000 is 20001012111.

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 (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13017172 + ... + 13845171.

Almost surely, 2^{11121010002000} is an apocalyptic number.

11121010002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11121010002000 is an abundant number, since it is smaller than the sum of its proper divisors (29409754220208).

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

11121010002000 is a wasteful number, since it uses less digits than its factorization.

11121010002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26862395 (or 26862376 counting only the distinct ones).

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

Adding to 11121010002000 its reverse (20001012111), we get a palindrome (11141011014111).

The spelling of 11121010002000 in words is "eleven trillion, one hundred twenty-one billion, ten million, two thousand".