1010056006101 has 16 divisors (see below), whose sum is σ = 1367557793280. Its totient is φ = 662988115440.

The previous prime is 1010056006097. The next prime is 1010056006133. The reversal of 1010056006101 is 1016006500101.

1010056006101 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010056006101 - 2² = 1010056006097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010056006171) 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, 3051015 + ... + 3365828.

It is an arithmetic number, because the mean of its divisors is an integer number (85472362080).

Almost surely, 2^{1010056006101} is an apocalyptic number.

It is an amenable number.

1010056006101 is a deficient number, since it is larger than the sum of its proper divisors (357501787179).

1010056006101 is an equidigital number, since it uses as much as digits as its factorization.

1010056006101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6417656.

The product of its (nonzero) digits is 180, while the sum is 21.

The spelling of 1010056006101 in words is "one trillion, ten billion, fifty-six million, six thousand, one hundred one".