10122222121000 has 512 divisors, whose sum is σ = 26674907351040. Its totient is φ = 3564288000000.

The previous prime is 10122222120979. The next prime is 10122222121027. The reversal of 10122222121000 is 12122222101.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11111110545 + ... + 11111111455.

It is an arithmetic number, because the mean of its divisors is an integer number (52099428420).

Almost surely, 2^{10122222121000} is an apocalyptic number.

10122222121000 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 10122222121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13337453675520).

10122222121000 is an abundant number, since it is smaller than the sum of its proper divisors (16552685230040).

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

10122222121000 is a wasteful number, since it uses less digits than its factorization.

10122222121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10122222121000 its reverse (12122222101), we get a palindrome (10134344343101).

It can be divided in two parts, 101222 and 22121000, that added together give a palindrome (22222222).

The spelling of 10122222121000 in words is "ten trillion, one hundred twenty-two billion, two hundred twenty-two million, one hundred twenty-one thousand".