101005753035036 has 12 divisors (see below), whose sum is σ = 235680090415112. Its totient is φ = 33668584345008.

The previous prime is 101005753035029. The next prime is 101005753035053. The reversal of 101005753035036 is 630530357500101.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 101005753034985 and 101005753035003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4208573043115 + ... + 4208573043138.

Almost surely, 2^{101005753035036} is an apocalyptic number.

It is an amenable number.

101005753035036 is an abundant number, since it is smaller than the sum of its proper divisors (134674337380076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101005753035036 is a wasteful number, since it uses less digits than its factorization.

101005753035036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8417146086260 (or 8417146086258 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 39.

The spelling of 101005753035036 in words is "one hundred one trillion, five billion, seven hundred fifty-three million, thirty-five thousand, thirty-six".