10056101005055 has 16 divisors (see below), whose sum is σ = 13798634977344. Its totient is φ = 6891906746880.

The previous prime is 10056101005007. The next prime is 10056101005073. The reversal of 10056101005055 is 55050010165001.

It is a happy number.

It is not a de Polignac number, because 10056101005055 - 2⁸ = 10056101004799 is a prime.

It is a super-2 number, since 2×10056101005055² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 77129162 + ... + 77259431.

It is an arithmetic number, because the mean of its divisors is an integer number (862414686084).

Almost surely, 2^{10056101005055} is an apocalyptic number.

10056101005055 is a deficient number, since it is larger than the sum of its proper divisors (3742533972289).

10056101005055 is a wasteful number, since it uses less digits than its factorization.

10056101005055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154390466.

The product of its (nonzero) digits is 3750, while the sum is 29.

The spelling of 10056101005055 in words is "ten trillion, fifty-six billion, one hundred one million, five thousand, fifty-five".