101001102102121 has 24 divisors (see below), whose sum is σ = 115148976803520. Its totient is φ = 88305895694016.

The previous prime is 101001102102053. The next prime is 101001102102133. The reversal of 101001102102121 is 121201201100101.

It is a happy number.

It is not a de Polignac number, because 101001102102121 - 2¹⁵ = 101001102069353 is a prime.

It is a super-2 number, since 2×101001102102121² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001102102191) 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, 11600095 + ... + 18345691.

It is an arithmetic number, because the mean of its divisors is an integer number (4797874033480).

Almost surely, 2^{101001102102121} is an apocalyptic number.

It is an amenable number.

101001102102121 is a deficient number, since it is larger than the sum of its proper divisors (14147874701399).

101001102102121 is a wasteful number, since it uses less digits than its factorization.

101001102102121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6750305 (or 6750292 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101001102102121 its reverse (121201201100101), we get a palindrome (222202303202222).

The spelling of 101001102102121 in words is "one hundred one trillion, one billion, one hundred two million, one hundred two thousand, one hundred twenty-one".