10211101000122 has 128 divisors (see below), whose sum is σ = 23028916377600. Its totient is φ = 2991184968960.

The previous prime is 10211101000097. The next prime is 10211101000123. The reversal of 10211101000122 is 22100010111201.

It is a junction number, because it is equal to n+sod(n) for n = 10211101000098 and 10211101000107.

It is not an unprimeable number, because it can be changed into a prime (10211101000123) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1100685348 + ... + 1100694624.

It is an arithmetic number, because the mean of its divisors is an integer number (179913409200).

Almost surely, 2^{10211101000122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211101000122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11514458188800).

10211101000122 is an abundant number, since it is smaller than the sum of its proper divisors (12817815377478).

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

10211101000122 is a wasteful number, since it uses less digits than its factorization.

10211101000122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12196.

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

Adding to 10211101000122 its reverse (22100010111201), we get a palindrome (32311111111323).

The spelling of 10211101000122 in words is "ten trillion, two hundred eleven billion, one hundred one million, one hundred twenty-two", and thus it is an aban number.