10122122000100 has 288 divisors, whose sum is σ = 32096839420800. Its totient is φ = 2442525696000.

The previous prime is 10122122000071. The next prime is 10122122000117. The reversal of 10122122000100 is 100022122101.

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

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, 682950690 + ... + 682965510.

It is an arithmetic number, because the mean of its divisors is an integer number (111447359100).

Almost surely, 2^{10122122000100} is an apocalyptic number.

10122122000100 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 10122122000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16048419710400).

10122122000100 is an abundant number, since it is smaller than the sum of its proper divisors (21974717420700).

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

10122122000100 is a wasteful number, since it uses less digits than its factorization.

10122122000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15791 (or 15784 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10122122000100 its reverse (100022122101), we get a palindrome (10222144122201).

The spelling of 10122122000100 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred", and thus it is an aban number.