10010012122201 has 16 divisors (see below), whose sum is σ = 12503895746944. Its totient is φ = 7801800488064.

The previous prime is 10010012122199. The next prime is 10010012122247. The reversal of 10010012122201 is 10222121001001.

It is a cyclic number.

It is not a de Polignac number, because 10010012122201 - 2¹ = 10010012122199 is a prime.

It is a super-2 number, since 2×10010012122201² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10010012122001) 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, 820890420 + ... + 820902613.

It is an arithmetic number, because the mean of its divisors is an integer number (781493484184).

Almost surely, 2^{10010012122201} is an apocalyptic number.

It is an amenable number.

10010012122201 is a deficient number, since it is larger than the sum of its proper divisors (2493883624743).

10010012122201 is a wasteful number, since it uses less digits than its factorization.

10010012122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641793120.

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

Adding to 10010012122201 its reverse (10222121001001), we get a palindrome (20232133123202).

The spelling of 10010012122201 in words is "ten trillion, ten billion, twelve million, one hundred twenty-two thousand, two hundred one".