10121121220111 has 16 divisors (see below), whose sum is σ = 11090580652800. Its totient is φ = 9159893289280.

The previous prime is 10121121220097. The next prime is 10121121220117. The reversal of 10121121220111 is 11102212112101.

It is a cyclic number.

It is not a de Polignac number, because 10121121220111 - 2⁷ = 10121121219983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121121220117) 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, 41045115 + ... + 41290963.

It is an arithmetic number, because the mean of its divisors is an integer number (693161290800).

Almost surely, 2^{10121121220111} is an apocalyptic number.

10121121220111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121121220111 is a deficient number, since it is larger than the sum of its proper divisors (969459432689).

10121121220111 is a wasteful number, since it uses less digits than its factorization.

10121121220111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262574.

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 10121121220111 its reverse (11102212112101), we get a palindrome (21223333332212).

The spelling of 10121121220111 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty thousand, one hundred eleven".