10001112101022 has 256 divisors, whose sum is σ = 25068284559360. Its totient is φ = 2597110483968.

The previous prime is 10001112101021. The next prime is 10001112101039. The reversal of 10001112101022 is 22010121110001.

It is a junction number, because it is equal to n+sod(n) for n = 10001112100989 and 10001112101007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001112101021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2783497258 + ... + 2783500850.

It is an arithmetic number, because the mean of its divisors is an integer number (97922986560).

Almost surely, 2^{10001112101022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001112101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534142279680).

10001112101022 is an abundant number, since it is smaller than the sum of its proper divisors (15067172458338).

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

10001112101022 is a wasteful number, since it uses less digits than its factorization.

10001112101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5207.

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

Adding to 10001112101022 its reverse (22010121110001), we get a palindrome (32011233211023).

The spelling of 10001112101022 in words is "ten trillion, one billion, one hundred twelve million, one hundred one thousand, twenty-two".