10001112210011 has 16 divisors (see below), whose sum is σ = 10805648265216. Its totient is φ = 9201639243936.

The previous prime is 10001112209951. The next prime is 10001112210043. The reversal of 10001112210011 is 11001221110001.

It is a cyclic number.

It is not a de Polignac number, because 10001112210011 - 2²² = 10001108015707 is a prime.

It is a super-2 number, since 2×10001112210011² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001112209974 and 10001112210001.

It is not an unprimeable number, because it can be changed into a prime (10001112210311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6923576 + ... + 8242458.

It is an arithmetic number, because the mean of its divisors is an integer number (675353016576).

Almost surely, 2^{10001112210011} is an apocalyptic number.

10001112210011 is a deficient number, since it is larger than the sum of its proper divisors (804536055205).

10001112210011 is a wasteful number, since it uses less digits than its factorization.

10001112210011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1320802.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10001112210011 its reverse (11001221110001), we get a palindrome (21002333320012).

The spelling of 10001112210011 in words is "ten trillion, one billion, one hundred twelve million, two hundred ten thousand, eleven".