10122010112011 has 12 divisors (see below), whose sum is σ = 11782857751392. Its totient is φ = 8669911623408.

The previous prime is 10122010111973. The next prime is 10122010112059. The reversal of 10122010112011 is 11021101022101.

It is a happy number.

It is not a de Polignac number, because 10122010112011 - 2²³ = 10122001723403 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10122010111982 and 10122010112000.

It is not an unprimeable number, because it can be changed into a prime (10122010112411) 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 11 ways as a sum of consecutive naturals, for example, 72513420 + ... + 72652873.

It is an arithmetic number, because the mean of its divisors is an integer number (981904812616).

Almost surely, 2^{10122010112011} is an apocalyptic number.

10122010112011 is a deficient number, since it is larger than the sum of its proper divisors (1660847639381).

10122010112011 is a wasteful number, since it uses less digits than its factorization.

10122010112011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145167730 (or 145167723 counting only the distinct ones).

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

Adding to 10122010112011 its reverse (11021101022101), we get a palindrome (21143111134112).

The spelling of 10122010112011 in words is "ten trillion, one hundred twenty-two billion, ten million, one hundred twelve thousand, eleven".