10122011100001 has 16 divisors (see below), whose sum is σ = 10147619439360. Its totient is φ = 10096447184640.

The previous prime is 10122011099987. The next prime is 10122011100049. The reversal of 10122011100001 is 10000111022101.

It is a cyclic number.

It is not a de Polignac number, because 10122011100001 - 2⁵ = 10122011099969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10122011107001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3245272920 + ... + 3245276038.

It is an arithmetic number, because the mean of its divisors is an integer number (634226214960).

Almost surely, 2^{10122011100001} is an apocalyptic number.

It is an amenable number.

10122011100001 is a deficient number, since it is larger than the sum of its proper divisors (25608339359).

10122011100001 is a wasteful number, since it uses less digits than its factorization.

10122011100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7944.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10122011100001 its reverse (10000111022101), we get a palindrome (20122122122102).

The spelling of 10122011100001 in words is "ten trillion, one hundred twenty-two billion, eleven million, one hundred thousand, one".