1010102112106 has 24 divisors (see below), whose sum is σ = 1570199361120. Its totient is φ = 487325395536.

The previous prime is 1010102112073. The next prime is 1010102112113. The reversal of 1010102112106 is 6012112010101.

It is a self number, because there is not a number n which added to its sum of digits gives 1010102112106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2465715 + ... + 2846041.

It is an arithmetic number, because the mean of its divisors is an integer number (65424973380).

Almost surely, 2^{1010102112106} is an apocalyptic number.

1010102112106 is a deficient number, since it is larger than the sum of its proper divisors (560097249014).

1010102112106 is a wasteful number, since it uses less digits than its factorization.

1010102112106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381966 (or 381937 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 1010102112106 its reverse (6012112010101), we get a palindrome (7022214122207).

The spelling of 1010102112106 in words is "one trillion, ten billion, one hundred two million, one hundred twelve thousand, one hundred six".