1004121340101 has 32 divisors (see below), whose sum is σ = 1675171491840. Its totient is φ = 588927466800.

The previous prime is 1004121340069. The next prime is 1004121340127. The reversal of 1004121340101 is 1010431214001.

1004121340101 is a `hidden beast` number, since 10 + 0 + 41 + 213 + 401 + 0 + 1 = 666.

It is not a de Polignac number, because 1004121340101 - 2⁵ = 1004121340069 is a prime.

It is a super-2 number, since 2×1004121340101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004121340181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54521115 + ... + 54539528.

It is an arithmetic number, because the mean of its divisors is an integer number (52349109120).

Almost surely, 2^{1004121340101} is an apocalyptic number.

1004121340101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1004121340101 is a deficient number, since it is larger than the sum of its proper divisors (671050151739).

1004121340101 is a wasteful number, since it uses less digits than its factorization.

1004121340101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109060694 (or 109060688 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1004121340101 its reverse (1010431214001), we get a palindrome (2014552554102).

The spelling of 1004121340101 in words is "one trillion, four billion, one hundred twenty-one million, three hundred forty thousand, one hundred one".