121120020021121 has 12 divisors (see below), whose sum is σ = 134450060696532. Its totient is φ = 109018919900000.

The previous prime is 121120020021083. The next prime is 121120020021149.

121120020021121 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 96677269651600 + 24442750369521 = 9832460^2 + 4943961^2 .

It is not a de Polignac number, because 121120020021121 - 2¹¹ = 121120020019073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 121120020021095 and 121120020021104.

It is not an unprimeable number, because it can be changed into a prime (121120020022121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4955393230 + ... + 4955417671.

It is an arithmetic number, because the mean of its divisors is an integer number (11204171724711).

Almost surely, 2^{121120020021121} is an apocalyptic number.

121120020021121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

121120020021121 is a deficient number, since it is larger than the sum of its proper divisors (13330040675411).

121120020021121 is a wasteful number, since it uses less digits than its factorization.

121120020021121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9910811024 (or 9910811013 counting only the distinct ones).

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

The spelling of 121120020021121 in words is "one hundred twenty-one trillion, one hundred twenty billion, twenty million, twenty-one thousand, one hundred twenty-one".