10010121122201 has 16 divisors (see below), whose sum is σ = 10531755122688. Its totient is φ = 9495990992400.

The previous prime is 10010121122161. The next prime is 10010121122203. The reversal of 10010121122201 is 10222112101001.

10010121122201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10010121122201 - 2¹⁸ = 10010120860057 is a prime.

It is a super-2 number, since 2×10010121122201² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10010121122203) 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, 1987991 + ... + 4896156.

It is an arithmetic number, because the mean of its divisors is an integer number (658234695168).

Almost surely, 2^{10010121122201} is an apocalyptic number.

It is an amenable number.

10010121122201 is a deficient number, since it is larger than the sum of its proper divisors (521634000487).

10010121122201 is a wasteful number, since it uses less digits than its factorization.

10010121122201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6884692.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10010121122201 its reverse (10222112101001), we get a palindrome (20232233223202).

The spelling of 10010121122201 in words is "ten trillion, ten billion, one hundred twenty-one million, one hundred twenty-two thousand, two hundred one".