10141212121001 has 16 divisors (see below), whose sum is σ = 11289506565120. Its totient is φ = 9046369690560.

The previous prime is 10141212120983. The next prime is 10141212121121. The reversal of 10141212121001 is 10012121214101.

It is a cyclic number.

It is not a de Polignac number, because 10141212121001 - 2⁶ = 10141212120937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10141212123001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17460605 + ... + 18032058.

It is an arithmetic number, because the mean of its divisors is an integer number (705594160320).

Almost surely, 2^{10141212121001} is an apocalyptic number.

It is an amenable number.

10141212121001 is a deficient number, since it is larger than the sum of its proper divisors (1148294444119).

10141212121001 is a wasteful number, since it uses less digits than its factorization.

10141212121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35493416.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 10141212121001 its reverse (10012121214101), we get a palindrome (20153333335102).

The spelling of 10141212121001 in words is "ten trillion, one hundred forty-one billion, two hundred twelve million, one hundred twenty-one thousand, one".