1021221101121 has 24 divisors (see below), whose sum is σ = 1474550052480. Its totient is φ = 628390766016.

The previous prime is 1021221101003. The next prime is 1021221101203. The reversal of 1021221101121 is 1211011221201.

It is a happy number.

1021221101121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1021221101121 - 2⁷ = 1021221100993 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 1021221101121.

It is not an unprimeable number, because it can be changed into a prime (1021221101221) 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, 6425800 + ... + 6582806.

It is an arithmetic number, because the mean of its divisors is an integer number (61439585520).

Almost surely, 2^{1021221101121} is an apocalyptic number.

It is an amenable number.

1021221101121 is a deficient number, since it is larger than the sum of its proper divisors (453328951359).

1021221101121 is a wasteful number, since it uses less digits than its factorization.

1021221101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169865 (or 169852 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1021221101121 its reverse (1211011221201), we get a palindrome (2232232322322).

The spelling of 1021221101121 in words is "one trillion, twenty-one billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty-one".