10010122221000 has 256 divisors, whose sum is σ = 34408162264320. Its totient is φ = 2402668800000.

The previous prime is 10010122220939. The next prime is 10010122221037. The reversal of 10010122221000 is 12222101001.

10010122221000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1831332 + ... + 4834668.

It is an arithmetic number, because the mean of its divisors is an integer number (134406883845).

Almost surely, 2^{10010122221000} is an apocalyptic number.

10010122221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10010122221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17204081132160).

10010122221000 is an abundant number, since it is smaller than the sum of its proper divisors (24398040043320).

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

10010122221000 is a wasteful number, since it uses less digits than its factorization.

10010122221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003473 (or 3003459 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10010122221000 its reverse (12222101001), we get a palindrome (10022344322001).

The spelling of 10010122221000 in words is "ten trillion, ten billion, one hundred twenty-two million, two hundred twenty-one thousand".