10001200100122 has 192 divisors, whose sum is σ = 20229995697408. Its totient is φ = 3630823574400.

The previous prime is 10001200100051. The next prime is 10001200100153. The reversal of 10001200100122 is 22100100210001.

10001200100122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10001200100099 and 10001200100108.

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, 410327128 + ... + 410351500.

It is an arithmetic number, because the mean of its divisors is an integer number (105364560924).

Almost surely, 2^{10001200100122} is an apocalyptic number.

10001200100122 is an abundant number, since it is smaller than the sum of its proper divisors (10228795597286).

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

10001200100122 is a wasteful number, since it uses less digits than its factorization.

10001200100122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24514 (or 24473 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10001200100122 its reverse (22100100210001), we get a palindrome (32101300310123).

The spelling of 10001200100122 in words is "ten trillion, one billion, two hundred million, one hundred thousand, one hundred twenty-two".