10110002121 has 48 divisors (see below), whose sum is σ = 15486254784. Its totient is φ = 6588713664.

The previous prime is 10110002101. The next prime is 10110002129. The reversal of 10110002121 is 12120001101.

It is a happy number.

10110002121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10110002121 - 2²¹ = 10107904969 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10110002129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3952575 + ... + 3955131.

It is an arithmetic number, because the mean of its divisors is an integer number (322630308).

Almost surely, 2^10110002121 is an apocalyptic number.

It is an amenable number.

10110002121 is a deficient number, since it is larger than the sum of its proper divisors (5376252663).

10110002121 is an equidigital number, since it uses as much as digits as its factorization.

10110002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2932 (or 2920 counting only the distinct ones).

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

Adding to 10110002121 its reverse (12120001101), we get a palindrome (22230003222).

The spelling of 10110002121 in words is "ten billion, one hundred ten million, two thousand, one hundred twenty-one".