10220121022120 has 32 divisors (see below), whose sum is σ = 23788212726600. Its totient is φ = 3947081221888.

The previous prime is 10220121022093. The next prime is 10220121022127. The reversal of 10220121022120 is 2122012102201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8375918997924 + 1844202024196 = 2894118^2 + 1358014^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10220121022094 and 10220121022103.

It is not an unprimeable number, because it can be changed into a prime (10220121022127) 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, 4405223419 + ... + 4405225738.

Almost surely, 2^{10220121022120} is an apocalyptic number.

10220121022120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220121022120 is an abundant number, since it is smaller than the sum of its proper divisors (13568091704480).

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

10220121022120 is a wasteful number, since it uses less digits than its factorization.

10220121022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8810449197 (or 8810449193 counting only the distinct ones).

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

Adding to 10220121022120 its reverse (2122012102201), we get a palindrome (12342133124321).

The spelling of 10220121022120 in words is "ten trillion, two hundred twenty billion, one hundred twenty-one million, twenty-two thousand, one hundred twenty".