10011101221111 has 8 divisors (see below), whose sum is σ = 10576044616880. Its totient is φ = 9449962158528.

The previous prime is 10011101221039. The next prime is 10011101221123. The reversal of 10011101221111 is 11112210111001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10011101221111 - 2⁷ = 10011101220983 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10011101221091 and 10011101221100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011101221181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 951077886 + ... + 951088411.

It is an arithmetic number, because the mean of its divisors is an integer number (1322005577110).

Almost surely, 2^{10011101221111} is an apocalyptic number.

10011101221111 is a deficient number, since it is larger than the sum of its proper divisors (564943395769).

10011101221111 is a wasteful number, since it uses less digits than its factorization.

10011101221111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902166593.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 10011101221111 its reverse (11112210111001), we get a palindrome (21123311332112).

The spelling of 10011101221111 in words is "ten trillion, eleven billion, one hundred one million, two hundred twenty-one thousand, one hundred eleven".