130020121032101 has 16 divisors (see below), whose sum is σ = 137799465142320. Its totient is φ = 122255377305600.

The previous prime is 130020121032089. The next prime is 130020121032103. The reversal of 130020121032101 is 101230121020031.

It can be written as a sum of positive squares in 8 ways, for example, as 56885897091076 + 73134223941025 = 7542274^2 + 8551855^2 .

It is a cyclic number.

It is not a de Polignac number, because 130020121032101 - 2¹⁴ = 130020121015717 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 130020121032101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130020121032103) 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, 124405625 + ... + 125446401.

It is an arithmetic number, because the mean of its divisors is an integer number (8612466571395).

Almost surely, 2^{130020121032101} is an apocalyptic number.

It is an amenable number.

130020121032101 is a deficient number, since it is larger than the sum of its proper divisors (7779344110219).

130020121032101 is a wasteful number, since it uses less digits than its factorization.

130020121032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047784.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 130020121032101 its reverse (101230121020031), we get a palindrome (231250242052132).

The spelling of 130020121032101 in words is "one hundred thirty trillion, twenty billion, one hundred twenty-one million, thirty-two thousand, one hundred one".