10101001100121 has 24 divisors (see below), whose sum is σ = 15029133356744. Its totient is φ = 6532558502400.

The previous prime is 10101001100111. The next prime is 10101001100149. The reversal of 10101001100121 is 12100110010101.

It can be written as a sum of positive squares in 4 ways, for example, as 670451453721 + 9430549646400 = 818811^2 + 3070920^2 .

It is not a de Polignac number, because 10101001100121 - 2⁵ = 10101001100089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10101001100111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44892730 + ... + 45117171.

Almost surely, 2^{10101001100121} is an apocalyptic number.

It is an amenable number.

10101001100121 is a deficient number, since it is larger than the sum of its proper divisors (4928132256623).

10101001100121 is a wasteful number, since it uses less digits than its factorization.

10101001100121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90010281 (or 90010278 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101001100121 its reverse (12100110010101), we get a palindrome (22201111110222).

The spelling of 10101001100121 in words is "ten trillion, one hundred one billion, one million, one hundred thousand, one hundred twenty-one".