10221211021120 has 112 divisors (see below), whose sum is σ = 26814809846016. Its totient is φ = 3680003840000.

The previous prime is 10221211021093. The next prime is 10221211021127. The reversal of 10221211021120 is 2112011212201.

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 = 10221211021094 and 10221211021103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221211021127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14019496 + ... + 14730535.

Almost surely, 2^{10221211021120} is an apocalyptic number.

10221211021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221211021120 is an abundant number, since it is smaller than the sum of its proper divisors (16593598824896).

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

10221211021120 is a wasteful number, since it uses less digits than its factorization.

10221211021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28750160 (or 28750150 counting only the distinct ones).

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

Adding to 10221211021120 its reverse (2112011212201), we get a palindrome (12333222233321).

The spelling of 10221211021120 in words is "ten trillion, two hundred twenty-one billion, two hundred eleven million, twenty-one thousand, one hundred twenty".