10011101210011 has 16 divisors (see below), whose sum is σ = 10948392631296. Its totient is φ = 9078346620000.

The previous prime is 10011101210009. The next prime is 10011101210101. The reversal of 10011101210011 is 11001210111001.

It is a cyclic number.

It is not a de Polignac number, because 10011101210011 - 2¹ = 10011101210009 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10011101210011.

It is not an unprimeable number, because it can be changed into a prime (10011101211011) 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, 41981526 + ... + 42219316.

It is an arithmetic number, because the mean of its divisors is an integer number (684274539456).

Almost surely, 2^{10011101210011} is an apocalyptic number.

10011101210011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10011101210011 is a deficient number, since it is larger than the sum of its proper divisors (937291421285).

10011101210011 is a wasteful number, since it uses less digits than its factorization.

10011101210011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247314.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10011101210011 its reverse (11001210111001), we get a palindrome (21012311321012).

It can be divided in two parts, 100 and 11101210011, that added together give a palindrome (11101210111).

The spelling of 10011101210011 in words is "ten trillion, eleven billion, one hundred one million, two hundred ten thousand, eleven".