10001101212011 has 16 divisors (see below), whose sum is σ = 12309130142400. Its totient is φ = 7912906167168.

The previous prime is 10001101212001. The next prime is 10001101212103. The reversal of 10001101212011 is 11021210110001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10001101212011 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10001101211983 and 10001101212001.

It is not an unprimeable number, because it can be changed into a prime (10001101212001) 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, 18651725 + ... + 19180433.

It is an arithmetic number, because the mean of its divisors is an integer number (769320633900).

Almost surely, 2^{10001101212011} is an apocalyptic number.

10001101212011 is a deficient number, since it is larger than the sum of its proper divisors (2308028930389).

10001101212011 is a wasteful number, since it uses less digits than its factorization.

10001101212011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736598.

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

Adding to 10001101212011 its reverse (11021210110001), we get a palindrome (21022311322012).

The spelling of 10001101212011 in words is "ten trillion, one billion, one hundred one million, two hundred twelve thousand, eleven".