2035103245101 has 80 divisors (see below), whose sum is σ = 3283413408000. Its totient is φ = 1252327329792.

The previous prime is 2035103245067. The next prime is 2035103245111. The reversal of 2035103245101 is 1015423015302.

2035103245101 is a `hidden beast` number, since 2 + 0 + 3 + 510 + 3 + 2 + 45 + 101 = 666.

It is not a de Polignac number, because 2035103245101 - 2⁶ = 2035103245037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2035103245111) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 112745325 + ... + 112763373.

It is an arithmetic number, because the mean of its divisors is an integer number (41042667600).

Almost surely, 2^{2035103245101} is an apocalyptic number.

It is an amenable number.

2035103245101 is a deficient number, since it is larger than the sum of its proper divisors (1248310162899).

2035103245101 is a wasteful number, since it uses less digits than its factorization.

2035103245101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20200 (or 20191 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 2035103245101 in words is "two trillion, thirty-five billion, one hundred three million, two hundred forty-five thousand, one hundred one".