10001051001011 has 16 divisors (see below), whose sum is σ = 11751919758336. Its totient is φ = 8331241451616.

The previous prime is 10001051000971. The next prime is 10001051001079. The reversal of 10001051001011 is 11010015010001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10001051001011 - 2¹⁰ = 10001050999987 is a prime.

It is a super-2 number, since 2×10001051001011² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001051000983 and 10001051001001.

It is not an unprimeable number, because it can be changed into a prime (10001051001811) 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, 21536951 + ... + 21996416.

It is an arithmetic number, because the mean of its divisors is an integer number (734494984896).

Almost surely, 2^{10001051001011} is an apocalyptic number.

10001051001011 is a deficient number, since it is larger than the sum of its proper divisors (1750868757325).

10001051001011 is an equidigital number, since it uses as much as digits as its factorization.

10001051001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43534298.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 10001051001011 its reverse (11010015010001), we get a palindrome (21011066011012).

The spelling of 10001051001011 in words is "ten trillion, one billion, fifty-one million, one thousand, eleven".