10122120121100 has 288 divisors, whose sum is σ = 24122731046400. Its totient is φ = 3686157696000.

The previous prime is 10122120121081. The next prime is 10122120121103. The reversal of 10122120121100 is 112102122101.

It is not an unprimeable number, because it can be changed into a prime (10122120121103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7034134181 + ... + 7034135619.

It is an arithmetic number, because the mean of its divisors is an integer number (83759482800).

Almost surely, 2^{10122120121100} is an apocalyptic number.

10122120121100 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 10122120121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12061365523200).

10122120121100 is an abundant number, since it is smaller than the sum of its proper divisors (14000610925300).

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

10122120121100 is a wasteful number, since it uses less digits than its factorization.

10122120121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10122120121100 its reverse (112102122101), we get a palindrome (10234222243201).

The spelling of 10122120121100 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty million, one hundred twenty-one thousand, one hundred".