10211122011120 has 80 divisors (see below), whose sum is σ = 31754334869280. Its totient is φ = 2714376051712.

The previous prime is 10211122011107. The next prime is 10211122011151. The reversal of 10211122011120 is 2111022111201.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10211122011120.

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, 67031715 + ... + 67183874.

It is an arithmetic number, because the mean of its divisors is an integer number (396929185866).

Almost surely, 2^{10211122011120} is an apocalyptic number.

10211122011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211122011120 is an abundant number, since it is smaller than the sum of its proper divisors (21543212858160).

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

10211122011120 is a wasteful number, since it uses less digits than its factorization.

10211122011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134215922 (or 134215916 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10211122011120 its reverse (2111022111201), we get a palindrome (12322144122321).

The spelling of 10211122011120 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, eleven thousand, one hundred twenty".