10122111011200 has 192 divisors, whose sum is σ = 26330768294400. Its totient is φ = 3834297354240.

The previous prime is 10122111011197. The next prime is 10122111011239. The reversal of 10122111011200 is 211011122101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 168203517 + ... + 168263683.

It is an arithmetic number, because the mean of its divisors is an integer number (137139418200).

Almost surely, 2^{10122111011200} is an apocalyptic number.

10122111011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122111011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13165384147200).

10122111011200 is an abundant number, since it is smaller than the sum of its proper divisors (16208657283200).

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

10122111011200 is a wasteful number, since it uses less digits than its factorization.

10122111011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62977 (or 62960 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10122111011200 its reverse (211011122101), we get a palindrome (10333122133301).

The spelling of 10122111011200 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, eleven thousand, two hundred".