1001056101111 has 32 divisors (see below), whose sum is σ = 1618315760640. Its totient is φ = 606532924800.

The previous prime is 1001056101041. The next prime is 1001056101139. The reversal of 1001056101111 is 1111016501001.

It is a happy number.

1001056101111 is a `hidden beast` number, since 100 + 1 + 0 + 561 + 0 + 1 + 1 + 1 + 1 = 666.

It is not a de Polignac number, because 1001056101111 - 2¹⁰ = 1001056100087 is a prime.

It is a super-2 number, since 2×1001056101111² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001056101011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 614271 + ... + 1542543.

It is an arithmetic number, because the mean of its divisors is an integer number (50572367520).

Almost surely, 2^{1001056101111} is an apocalyptic number.

1001056101111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1001056101111 is a deficient number, since it is larger than the sum of its proper divisors (617259659529).

1001056101111 is a wasteful number, since it uses less digits than its factorization.

1001056101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931924 (or 931918 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

It can be divided in two parts, 10010 and 56101111, that added together give a triangular number (56111121 = T₁₀₅₉₃).

The spelling of 1001056101111 in words is "one trillion, one billion, fifty-six million, one hundred one thousand, one hundred eleven".