10220121120000 has 720 divisors, whose sum is σ = 37247335437312. Its totient is φ = 2466401280000.

The previous prime is 10220121119959. The next prime is 10220121120089. The reversal of 10220121120000 is 2112102201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1198555737 + ... + 1198564263.

Almost surely, 2^{10220121120000} is an apocalyptic number.

10220121120000 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 10220121120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18623667718656).

10220121120000 is an abundant number, since it is smaller than the sum of its proper divisors (27027214317312).

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

10220121120000 is an equidigital number, since it uses as much as digits as its factorization.

10220121120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8804 (or 8775 counting only the distinct ones).

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

Adding to 10220121120000 its reverse (2112102201), we get a palindrome (10222233222201).

The spelling of 10220121120000 in words is "ten trillion, two hundred twenty billion, one hundred twenty-one million, one hundred twenty thousand".