10121001102101 has 4 divisors (see below), whose sum is σ = 10138541832492. Its totient is φ = 10103460371712.

The previous prime is 10121001102083. The next prime is 10121001102109. The reversal of 10121001102101 is 10120110012101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 10049565711025 + 71435391076 = 3170105^2 + 267274^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121001102101 - 2¹⁴ = 10121001085717 is a prime.

It is a super-2 number, since 2×10121001102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121001102109) 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 3 ways as a sum of consecutive naturals, for example, 8770364330 + ... + 8770365483.

It is an arithmetic number, because the mean of its divisors is an integer number (2534635458123).

Almost surely, 2^{10121001102101} is an apocalyptic number.

It is an amenable number.

10121001102101 is a deficient number, since it is larger than the sum of its proper divisors (17540730391).

10121001102101 is an equidigital number, since it uses as much as digits as its factorization.

10121001102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17540730390.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10121001102101 its reverse (10120110012101), we get a palindrome (20241111114202).

The spelling of 10121001102101 in words is "ten trillion, one hundred twenty-one billion, one million, one hundred two thousand, one hundred one".