10220121100000 has 216 divisors, whose sum is σ = 29255519480040. Its totient is φ = 3504039840000.

The previous prime is 10220121099977. The next prime is 10220121100037. The reversal of 10220121100000 is 112102201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 10220121100000.

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 35 ways as a sum of consecutive naturals, for example, 3857131 + ... + 5942869.

It is an arithmetic number, because the mean of its divisors is an integer number (135442219815).

Almost surely, 2^{10220121100000} is an apocalyptic number.

10220121100000 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 10220121100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14627759740020).

10220121100000 is an abundant number, since it is smaller than the sum of its proper divisors (19035398380040).

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

10220121100000 is an frugal number, since it uses more digits than its factorization.

10220121100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085788 (or 2085753 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10220121100000 its reverse (112102201), we get a palindrome (10220233202201).

The spelling of 10220121100000 in words is "ten trillion, two hundred twenty billion, one hundred twenty-one million, one hundred thousand".