10121020212001 has 8 divisors (see below), whose sum is σ = 10126126830440. Its totient is φ = 10115913944448.

The previous prime is 10121020211999. The next prime is 10121020212067. The reversal of 10121020212001 is 10021202012101.

It can be written as a sum of positive squares in 4 ways, for example, as 1157343488401 + 8963676723600 = 1075799^2 + 2993940^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10121020212001 - 2¹ = 10121020211999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10121020210001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72581935 + ... + 72721243.

It is an arithmetic number, because the mean of its divisors is an integer number (1265765853805).

Almost surely, 2^{10121020212001} is an apocalyptic number.

It is an amenable number.

10121020212001 is a deficient number, since it is larger than the sum of its proper divisors (5106618439).

10121020212001 is a wasteful number, since it uses less digits than its factorization.

10121020212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175443.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10121020212001 its reverse (10021202012101), we get a palindrome (20142222224102).

The spelling of 10121020212001 in words is "ten trillion, one hundred twenty-one billion, twenty million, two hundred twelve thousand, one".