1001120121105 has 48 divisors (see below), whose sum is σ = 1782447710400. Its totient is φ = 476960365440.

The previous prime is 1001120121097. The next prime is 1001120121119. The reversal of 1001120121105 is 5011210211001.

It is not a de Polignac number, because 1001120121105 - 2³ = 1001120121097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2483755 + ... + 2858544.

It is an arithmetic number, because the mean of its divisors is an integer number (37134327300).

Almost surely, 2^{1001120121105} is an apocalyptic number.

1001120121105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1001120121105 is a deficient number, since it is larger than the sum of its proper divisors (781327589295).

1001120121105 is a wasteful number, since it uses less digits than its factorization.

1001120121105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5342382 (or 5342351 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 1001120121105 its reverse (5011210211001), we get a palindrome (6012330332106).

The spelling of 1001120121105 in words is "one trillion, one billion, one hundred twenty million, one hundred twenty-one thousand, one hundred five".