10201122011100 has 288 divisors, whose sum is σ = 30753319258816. Its totient is φ = 2608555622400.

The previous prime is 10201122011029. The next prime is 10201122011161. The reversal of 10201122011100 is 111022110201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259465044 + ... + 259504356.

Almost surely, 2^{10201122011100} is an apocalyptic number.

10201122011100 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 10201122011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15376659629408).

10201122011100 is an abundant number, since it is smaller than the sum of its proper divisors (20552197247716).

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

10201122011100 is a wasteful number, since it uses less digits than its factorization.

10201122011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39705 (or 39698 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10201122011100 its reverse (111022110201), we get a palindrome (10312144121301).

The spelling of 10201122011100 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, eleven thousand, one hundred".