10220121120121 has 32 divisors (see below), whose sum is σ = 11567009744640. Its totient is φ = 8948019168000.

The previous prime is 10220121120101. The next prime is 10220121120127. The reversal of 10220121120121 is 12102112102201.

It is not a de Polignac number, because 10220121120121 - 2⁵ = 10220121120089 is a prime.

It is a super-2 number, since 2×10220121120121² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10220121120095 and 10220121120104.

It is not an unprimeable number, because it can be changed into a prime (10220121120127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163944660 + ... + 164006986.

It is an arithmetic number, because the mean of its divisors is an integer number (361469054520).

Almost surely, 2^{10220121120121} is an apocalyptic number.

10220121120121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10220121120121 is a deficient number, since it is larger than the sum of its proper divisors (1346888624519).

10220121120121 is a wasteful number, since it uses less digits than its factorization.

10220121120121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66465.

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

Adding to 10220121120121 its reverse (12102112102201), we get a palindrome (22322233222322).

The spelling of 10220121120121 in words is "ten trillion, two hundred twenty billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".