1020212112121 has 8 divisors (see below), whose sum is σ = 1033604989704. Its totient is φ = 1006883779200.

The previous prime is 1020212112107. The next prime is 1020212112131. The reversal of 1020212112121 is 1212112120201.

It can be written as a sum of positive squares in 4 ways, for example, as 114220341225 + 905991770896 = 337965^2 + 951836^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1020212112121 - 2⁹ = 1020212111609 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020212112095 and 1020212112104.

It is not an unprimeable number, because it can be changed into a prime (1020212112131) 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, 16104346 + ... + 16167571.

It is an arithmetic number, because the mean of its divisors is an integer number (129200623713).

Almost surely, 2^{1020212112121} is an apocalyptic number.

It is an amenable number.

1020212112121 is a deficient number, since it is larger than the sum of its proper divisors (13392877583).

1020212112121 is a wasteful number, since it uses less digits than its factorization.

1020212112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32272331.

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

Adding to 1020212112121 its reverse (1212112120201), we get a palindrome (2232324232322).

The spelling of 1020212112121 in words is "one trillion, twenty billion, two hundred twelve million, one hundred twelve thousand, one hundred twenty-one".