10010201121001 has 16 divisors (see below), whose sum is σ = 10782302914240. Its totient is φ = 9262632476160.

The previous prime is 10010201120957. The next prime is 10010201121049. The reversal of 10010201121001 is 10012110201001.

It is a cyclic number.

It is not a de Polignac number, because 10010201121001 - 2⁴³ = 1214108098793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10010201121091) 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, 69792481 + ... + 69935761.

It is an arithmetic number, because the mean of its divisors is an integer number (673893932140).

Almost surely, 2^{10010201121001} is an apocalyptic number.

It is an amenable number.

10010201121001 is a deficient number, since it is larger than the sum of its proper divisors (772101793239).

10010201121001 is a wasteful number, since it uses less digits than its factorization.

10010201121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228856.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10010201121001 its reverse (10012110201001), we get a palindrome (20022311322002).

The spelling of 10010201121001 in words is "ten trillion, ten billion, two hundred one million, one hundred twenty-one thousand, one".