10211120102000 has 80 divisors (see below), whose sum is σ = 24691709269344. Its totient is φ = 4084246080000.

The previous prime is 10211120101957. The next prime is 10211120102021. The reversal of 10211120102000 is 20102111201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44226860 + ... + 44457140.

Almost surely, 2^{10211120102000} is an apocalyptic number.

10211120102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211120102000 is an abundant number, since it is smaller than the sum of its proper divisors (14480589167344).

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

10211120102000 is a wasteful number, since it uses less digits than its factorization.

10211120102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252475 (or 252459 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10211120102000 its reverse (20102111201), we get a palindrome (10231222213201).

The spelling of 10211120102000 in words is "ten trillion, two hundred eleven billion, one hundred twenty million, one hundred two thousand".