1020121120121 has 16 divisors (see below), whose sum is σ = 1117427270400. Its totient is φ = 926962460928.

The previous prime is 1020121120093. The next prime is 1020121120129. The reversal of 1020121120121 is 1210211210201.

It is not a de Polignac number, because 1020121120121 - 2¹⁰ = 1020121119097 is a prime.

It is a super-2 number, since 2×1020121120121² (a number of 25 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 = 1020121120096 and 1020121120105.

It is not an unprimeable number, because it can be changed into a prime (1020121120129) 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, 14915120 + ... + 14983358.

It is an arithmetic number, because the mean of its divisors is an integer number (69839204400).

Almost surely, 2^{1020121120121} is an apocalyptic number.

It is an amenable number.

1020121120121 is a deficient number, since it is larger than the sum of its proper divisors (97306150279).

1020121120121 is a wasteful number, since it uses less digits than its factorization.

1020121120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98608.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1020121120121 its reverse (1210211210201), we get a palindrome (2230332330322).

The spelling of 1020121120121 in words is "one trillion, twenty billion, one hundred twenty-one million, one hundred twenty thousand, one hundred twenty-one".