1020120202121 has 24 divisors (see below), whose sum is σ = 1094927202840. Its totient is φ = 950137344000.

The previous prime is 1020120202093. The next prime is 1020120202147. The reversal of 1020120202121 is 1212020210201.

It can be written as a sum of positive squares in 12 ways, for example, as 214683955600 + 805436246521 = 463340^2 + 897461^2 .

It is not a de Polignac number, because 1020120202121 - 2¹⁴ = 1020120185737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1020120202096 and 1020120202105.

It is not an unprimeable number, because it can be changed into a prime (1020120202721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68323985 + ... + 68338913.

It is an arithmetic number, because the mean of its divisors is an integer number (45621966785).

Almost surely, 2^{1020120202121} is an apocalyptic number.

It is an amenable number.

1020120202121 is a deficient number, since it is larger than the sum of its proper divisors (74807000719).

1020120202121 is a wasteful number, since it uses less digits than its factorization.

1020120202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17405 (or 17388 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1020120202121 its reverse (1212020210201), we get a palindrome (2232140412322).

The spelling of 1020120202121 in words is "one trillion, twenty billion, one hundred twenty million, two hundred two thousand, one hundred twenty-one".