10000201220121 has 16 divisors (see below), whose sum is σ = 15243945200000. Its totient is φ = 5712321944448.

The previous prime is 10000201220101. The next prime is 10000201220167. The reversal of 10000201220121 is 12102210200001.

It is not a de Polignac number, because 10000201220121 - 2¹⁹ = 10000200695833 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10000201220097 and 10000201220106.

It is not an unprimeable number, because it can be changed into a prime (10000201220101) 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, 86555596 + ... + 86671053.

It is an arithmetic number, because the mean of its divisors is an integer number (952746575000).

Almost surely, 2^{10000201220121} is an apocalyptic number.

It is an amenable number.

10000201220121 is a deficient number, since it is larger than the sum of its proper divisors (5243743979879).

10000201220121 is a wasteful number, since it uses less digits than its factorization.

10000201220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173229408.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10000201220121 its reverse (12102210200001), we get a palindrome (22102411420122).

The spelling of 10000201220121 in words is "ten trillion, two hundred one million, two hundred twenty thousand, one hundred twenty-one".