10002121101 has 12 divisors (see below), whose sum is σ = 16511438112. Its totient is φ = 5715497736.

The previous prime is 10002121079. The next prime is 10002121123. The reversal of 10002121101 is 10112120001.

It is a happy number.

10002121101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10002121079) and next prime (10002121123).

It is not a de Polignac number, because 10002121101 - 2²⁶ = 9935012237 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002123101) 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 11 ways as a sum of consecutive naturals, for example, 79381851 + ... + 79381976.

It is an arithmetic number, because the mean of its divisors is an integer number (1375953176).

Almost surely, 2^10002121101 is an apocalyptic number.

It is an amenable number.

10002121101 is a deficient number, since it is larger than the sum of its proper divisors (6509317011).

10002121101 is a wasteful number, since it uses less digits than its factorization.

10002121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158763840 (or 158763837 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10002121101 its reverse (10112120001), we get a palindrome (20114241102).

The spelling of 10002121101 in words is "ten billion, two million, one hundred twenty-one thousand, one hundred one".