1013201123121 has 42 divisors (see below), whose sum is σ = 1669762120530. Its totient is φ = 614061233280.

The previous prime is 1013201123093. The next prime is 1013201123147. The reversal of 1013201123121 is 1213211023101.

1013201123121 is a `hidden beast` number, since 101 + 320 + 1 + 123 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 854813042721 + 158388080400 = 924561^2 + 397980^2 .

It is not a de Polignac number, because 1013201123121 - 2¹⁰ = 1013201122097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1013201123094 and 1013201123103.

It is not an unprimeable number, because it can be changed into a prime (1013201123171) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 5654976 + ... + 5831393.

It is an arithmetic number, because the mean of its divisors is an integer number (39756240965).

Almost surely, 2^{1013201123121} is an apocalyptic number.

1013201123121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1013201123121 is a deficient number, since it is larger than the sum of its proper divisors (656560997409).

1013201123121 is an equidigital number, since it uses as much as digits as its factorization.

1013201123121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11486409 (or 11486383 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1013201123121 its reverse (1213211023101), we get a palindrome (2226412146222).

The spelling of 1013201123121 in words is "one trillion, thirteen billion, two hundred one million, one hundred twenty-three thousand, one hundred twenty-one".