10121166662101 has 16 divisors (see below), whose sum is σ = 11423908612800. Its totient is φ = 8882303046400.

The previous prime is 10121166662083. The next prime is 10121166662111. The reversal of 10121166662101 is 10126666112101.

It is a cyclic number.

It is not a de Polignac number, because 10121166662101 - 2¹⁵ = 10121166629333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121166662111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 721636 + ... + 4556653.

It is an arithmetic number, because the mean of its divisors is an integer number (713994288300).

Almost surely, 2^{10121166662101} is an apocalyptic number.

10121166662101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10121166662101 is a deficient number, since it is larger than the sum of its proper divisors (1302741950699).

10121166662101 is a wasteful number, since it uses less digits than its factorization.

10121166662101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5284340.

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 10121166662101 in words is "ten trillion, one hundred twenty-one billion, one hundred sixty-six million, six hundred sixty-two thousand, one hundred one".