10221122002120 has 32 divisors (see below), whose sum is σ = 22997619542520. Its totient is φ = 4088431905280.

The previous prime is 10221122002103. The next prime is 10221122002123. The reversal of 10221122002120 is 2120022112201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9888647522884 + 332474479236 = 3144622^2 + 576606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10221122002094 and 10221122002103.

It is not an unprimeable number, because it can be changed into a prime (10221122002123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14681100 + ... + 15361540.

Almost surely, 2^{10221122002120} is an apocalyptic number.

10221122002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221122002120 is an abundant number, since it is smaller than the sum of its proper divisors (12776497540400).

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

10221122002120 is a wasteful number, since it uses less digits than its factorization.

10221122002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055985 (or 1055981 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10221122002120 its reverse (2120022112201), we get a palindrome (12341144114321).

The spelling of 10221122002120 in words is "ten trillion, two hundred twenty-one billion, one hundred twenty-two million, two thousand, one hundred twenty".