10010121101022 has 128 divisors (see below), whose sum is σ = 23308093440000. Its totient is φ = 2807060256000.

The previous prime is 10010121100979. The next prime is 10010121101047. The reversal of 10010121101022 is 22010112101001.

It is a super-3 number, since 3×10010121101022³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10010121100989 and 10010121101007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 846086647 + ... + 846098477.

It is an arithmetic number, because the mean of its divisors is an integer number (182094480000).

Almost surely, 2^{10010121101022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010121101022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11654046720000).

10010121101022 is an abundant number, since it is smaller than the sum of its proper divisors (13297972338978).

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

10010121101022 is a wasteful number, since it uses less digits than its factorization.

10010121101022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13582.

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

Adding to 10010121101022 its reverse (22010112101001), we get a palindrome (32020233202023).

The spelling of 10010121101022 in words is "ten trillion, ten billion, one hundred twenty-one million, one hundred one thousand, twenty-two".