10201100122122 has 288 divisors, whose sum is σ = 27884612262528. Its totient is φ = 2463695087616.

The previous prime is 10201100122033. The next prime is 10201100122193. The reversal of 10201100122122 is 22122100110201.

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 143 ways as a sum of consecutive naturals, for example, 40743843 + ... + 40993449.

It is an arithmetic number, because the mean of its divisors is an integer number (96821570356).

Almost surely, 2^{10201100122122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201100122122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13942306131264).

10201100122122 is an abundant number, since it is smaller than the sum of its proper divisors (17683512140406).

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

10201100122122 is a wasteful number, since it uses less digits than its factorization.

10201100122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249710 (or 249686 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10201100122122 its reverse (22122100110201), we get a palindrome (32323200232323).

The spelling of 10201100122122 in words is "ten trillion, two hundred one billion, one hundred million, one hundred twenty-two thousand, one hundred twenty-two".