10101012122001 has 16 divisors (see below), whose sum is σ = 14055412475520. Its totient is φ = 6440386191360.

The previous prime is 10101012121973. The next prime is 10101012122027. The reversal of 10101012122001 is 10022121010101.

It is not a de Polignac number, because 10101012122001 - 2¹⁴ = 10101012105617 is a prime.

It is a super-2 number, since 2×10101012122001² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10101012121001) 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, 8999466 + ... + 10059443.

It is an arithmetic number, because the mean of its divisors is an integer number (878463279720).

Almost surely, 2^{10101012122001} is an apocalyptic number.

It is an amenable number.

10101012122001 is a deficient number, since it is larger than the sum of its proper divisors (3954400353519).

10101012122001 is a wasteful number, since it uses less digits than its factorization.

10101012122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19066616.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10101012122001 its reverse (10022121010101), we get a palindrome (20123133132102).

The spelling of 10101012122001 in words is "ten trillion, one hundred one billion, twelve million, one hundred twenty-two thousand, one".