6101056106101 has 16 divisors (see below), whose sum is σ = 6835728797568. Its totient is φ = 5396395089600.

The previous prime is 6101056106087. The next prime is 6101056106111. The reversal of 6101056106101 is 1016016501016.

It is a cyclic number.

It is not a de Polignac number, because 6101056106101 - 2⁵ = 6101056106069 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6101056106101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6101056106111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22679856 + ... + 22947286.

It is an arithmetic number, because the mean of its divisors is an integer number (427233049848).

Almost surely, 2^{6101056106101} is an apocalyptic number.

It is an amenable number.

6101056106101 is a deficient number, since it is larger than the sum of its proper divisors (734672691467).

6101056106101 is a wasteful number, since it uses less digits than its factorization.

6101056106101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323532.

The product of its (nonzero) digits is 1080, while the sum is 28.

The spelling of 6101056106101 in words is "six trillion, one hundred one billion, fifty-six million, one hundred six thousand, one hundred one".