1010105106119 has 16 divisors (see below), whose sum is σ = 1020480989184. Its totient is φ = 999793953600.

The previous prime is 1010105106113. The next prime is 1010105106137. The reversal of 1010105106119 is 9116015010101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010105106119 is a prime.

It is a super-3 number, since 3×1010105106119³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010105106113) 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, 33642824 + ... + 33672834.

It is an arithmetic number, because the mean of its divisors is an integer number (63780061824).

Almost surely, 2^{1010105106119} is an apocalyptic number.

1010105106119 is a deficient number, since it is larger than the sum of its proper divisors (10375883065).

1010105106119 is a wasteful number, since it uses less digits than its factorization.

1010105106119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31078.

The product of its (nonzero) digits is 270, while the sum is 26.

The spelling of 1010105106119 in words is "one trillion, ten billion, one hundred five million, one hundred six thousand, one hundred nineteen".