1056005100101 has 64 divisors (see below), whose sum is σ = 1278860244480. Its totient is φ = 853006049280.

The previous prime is 1056005100091. The next prime is 1056005100103. The reversal of 1056005100101 is 1010015006501.

It is not a de Polignac number, because 1056005100101 - 2¹⁸ = 1056004837957 is a prime.

It is a super-2 number, since 2×1056005100101² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056005100103) 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 63 ways as a sum of consecutive naturals, for example, 444258425 + ... + 444260801.

It is an arithmetic number, because the mean of its divisors is an integer number (19982191320).

Almost surely, 2^{1056005100101} is an apocalyptic number.

It is an amenable number.

1056005100101 is a deficient number, since it is larger than the sum of its proper divisors (222855144379).

1056005100101 is a wasteful number, since it uses less digits than its factorization.

1056005100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2814.

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 1056005100101 in words is "one trillion, fifty-six billion, five million, one hundred thousand, one hundred one".