10021221121120 has 384 divisors, whose sum is σ = 27641205365760. Its totient is φ = 3392877035520.

The previous prime is 10021221121111. The next prime is 10021221121133. The reversal of 10021221121120 is 2112112212001.

10021221121120 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 (16).

It is a junction number, because it is equal to n+sod(n) for n = 10021221121094 and 10021221121103.

It is a congruent number.

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, 2839675516 + ... + 2839679044.

It is an arithmetic number, because the mean of its divisors is an integer number (71982305640).

Almost surely, 2^{10021221121120} is an apocalyptic number.

10021221121120 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 10021221121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13820602682880).

10021221121120 is an abundant number, since it is smaller than the sum of its proper divisors (17619984244640).

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

10021221121120 is a wasteful number, since it uses less digits than its factorization.

10021221121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4566 (or 4558 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10021221121120 its reverse (2112112212001), we get a palindrome (12133333333121).

The spelling of 10021221121120 in words is "ten trillion, twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, one hundred twenty".