10102121101 has 8 divisors (see below), whose sum is σ = 10204702200. Its totient is φ = 9999590400.

The previous prime is 10102121053. The next prime is 10102121167. The reversal of 10102121101 is 10112120101.

It can be written as a sum of positive squares in 4 ways, for example, as 4751344900 + 5350776201 = 68930^2 + 73149^2 .

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 10102121101 - 2¹⁵ = 10102088333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102121501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 491805 + ... + 511933.

It is an arithmetic number, because the mean of its divisors is an integer number (1275587775).

Almost surely, 2^10102121101 is an apocalyptic number.

It is an amenable number.

10102121101 is a deficient number, since it is larger than the sum of its proper divisors (102581099).

10102121101 is a wasteful number, since it uses less digits than its factorization.

10102121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25199.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10102121101 its reverse (10112120101), we get a palindrome (20214241202).

The spelling of 10102121101 in words is "ten billion, one hundred two million, one hundred twenty-one thousand, one hundred one".