1010112110101 has 16 divisors (see below), whose sum is σ = 1037777702400. Its totient is φ = 982805128000.

The previous prime is 1010112110083. The next prime is 1010112110107.

1010112110101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1010112110101 - 2²¹ = 1010110012949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010112110107) 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, 17305596 + ... + 17363866.

It is an arithmetic number, because the mean of its divisors is an integer number (64861106400).

Almost surely, 2^{1010112110101} is an apocalyptic number.

It is an amenable number.

1010112110101 is a deficient number, since it is larger than the sum of its proper divisors (27665592299).

1010112110101 is a wasteful number, since it uses less digits than its factorization.

1010112110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61340.

The product of its (nonzero) digits is 2, while the sum is 10.

The spelling of 1010112110101 in words is "one trillion, ten billion, one hundred twelve million, one hundred ten thousand, one hundred one".