10100110121101 has 48 divisors (see below), whose sum is σ = 13824687417408. Its totient is φ = 7253477683200.

The previous prime is 10100110121077. The next prime is 10100110121113. The reversal of 10100110121101 is 10112101100101.

It is not a de Polignac number, because 10100110121101 - 2¹⁵ = 10100110088333 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100110121501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3367126 + ... + 5615848.

It is an arithmetic number, because the mean of its divisors is an integer number (288014321196).

Almost surely, 2^{10100110121101} is an apocalyptic number.

10100110121101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100110121101 is a deficient number, since it is larger than the sum of its proper divisors (3724577296307).

10100110121101 is a wasteful number, since it uses less digits than its factorization.

10100110121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2249402 (or 2249395 counting only the distinct ones).

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

Adding to 10100110121101 its reverse (10112101100101), we get a palindrome (20212211221202).

The spelling of 10100110121101 in words is "ten trillion, one hundred billion, one hundred ten million, one hundred twenty-one thousand, one hundred one".