10220121122000 has 160 divisors (see below), whose sum is σ = 25183656669600. Its totient is φ = 4010097561600.

The previous prime is 10220121121981. The next prime is 10220121122047. The reversal of 10220121122000 is 22112102201.

It can be written as a sum of positive squares in 16 ways, for example, as 4473208080016 + 5746913041984 = 2114996^2 + 2397272^2 .

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 990988844 + ... + 990999156.

It is an arithmetic number, because the mean of its divisors is an integer number (157397854185).

Almost surely, 2^{10220121122000} is an apocalyptic number.

10220121122000 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 10220121122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12591828334800).

10220121122000 is an abundant number, since it is smaller than the sum of its proper divisors (14963535547600).

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

10220121122000 is a wasteful number, since it uses less digits than its factorization.

10220121122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19738 (or 19722 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10220121122000 its reverse (22112102201), we get a palindrome (10242233224201).

The spelling of 10220121122000 in words is "ten trillion, two hundred twenty billion, one hundred twenty-one million, one hundred twenty-two thousand".