10122012002011 has 16 divisors (see below), whose sum is σ = 12459453048000. Its totient is φ = 8007601373568.

The previous prime is 10122012001999. The next prime is 10122012002023. The reversal of 10122012002011 is 11020021022101.

It is an interprime number because it is at equal distance from previous prime (10122012001999) and next prime (10122012002023).

It is a cyclic number.

It is not a de Polignac number, because 10122012002011 - 2¹¹ = 10122011999963 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 10122012001982 and 10122012002000.

It is not an unprimeable number, because it can be changed into a prime (10122012002111) 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, 6391336 + ... + 7816213.

It is an arithmetic number, because the mean of its divisors is an integer number (778715815500).

Almost surely, 2^{10122012002011} is an apocalyptic number.

10122012002011 is a deficient number, since it is larger than the sum of its proper divisors (2337441045989).

10122012002011 is a wasteful number, since it uses less digits than its factorization.

10122012002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14215398.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10122012002011 its reverse (11020021022101), we get a palindrome (21142033024112).

The spelling of 10122012002011 in words is "ten trillion, one hundred twenty-two billion, twelve million, two thousand, eleven".