10011222121201 has 64 divisors (see below), whose sum is σ = 12221248241664. Its totient is φ = 8020617408000.

The previous prime is 10011222121123. The next prime is 10011222121213. The reversal of 10011222121201 is 10212122211001.

It is a cyclic number.

It is not a de Polignac number, because 10011222121201 - 2⁹ = 10011222120689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011222121301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 316224565 + ... + 316256221.

It is an arithmetic number, because the mean of its divisors is an integer number (190957003776).

Almost surely, 2^{10011222121201} is an apocalyptic number.

It is an amenable number.

10011222121201 is a deficient number, since it is larger than the sum of its proper divisors (2210026120463).

10011222121201 is a wasteful number, since it uses less digits than its factorization.

10011222121201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32150.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10011222121201 its reverse (10212122211001), we get a palindrome (20223344332202).

The spelling of 10011222121201 in words is "ten trillion, eleven billion, two hundred twenty-two million, one hundred twenty-one thousand, two hundred one".