10122001121011 has 16 divisors (see below), whose sum is σ = 10913371812000. Its totient is φ = 9332454509568.

The previous prime is 10122001121009. The next prime is 10122001121053. The reversal of 10122001121011 is 11012110022101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10122001121011 - 2¹ = 10122001121009 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122001120982 and 10122001121000.

It is not an unprimeable number, because it can be changed into a prime (10122001127011) 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, 154033440 + ... + 154099138.

It is an arithmetic number, because the mean of its divisors is an integer number (682085738250).

Almost surely, 2^{10122001121011} is an apocalyptic number.

10122001121011 is a deficient number, since it is larger than the sum of its proper divisors (791370690989).

10122001121011 is a wasteful number, since it uses less digits than its factorization.

10122001121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79398.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10122001121011 its reverse (11012110022101), we get a palindrome (21134111143112).

The spelling of 10122001121011 in words is "ten trillion, one hundred twenty-two billion, one million, one hundred twenty-one thousand, eleven".