1001301103121 has 16 divisors (see below), whose sum is σ = 1149973018560. Its totient is φ = 862249409280.

The previous prime is 1001301103067. The next prime is 1001301103129. The reversal of 1001301103121 is 1213011031001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1001301103121 - 2¹⁰ = 1001301102097 is a prime.

It is a super-2 number, since 2×1001301103121² (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 = 1001301103096 and 1001301103105.

It is not an unprimeable number, because it can be changed into a prime (1001301103129) 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, 1267445 + ... + 1899741.

It is an arithmetic number, because the mean of its divisors is an integer number (71873313660).

Almost surely, 2^{1001301103121} is an apocalyptic number.

1001301103121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001301103121 is a deficient number, since it is larger than the sum of its proper divisors (148671915439).

1001301103121 is a wasteful number, since it uses less digits than its factorization.

1001301103121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639904.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 1001301103121 its reverse (1213011031001), we get a palindrome (2214312134122).

The spelling of 1001301103121 in words is "one trillion, one billion, three hundred one million, one hundred three thousand, one hundred twenty-one".