12002102001 has 48 divisors (see below), whose sum is σ = 18412617600. Its totient is φ = 7512569856.

The previous prime is 12002101967. The next prime is 12002102041. The reversal of 12002102001 is 10020120021.

12002102001 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 12002102001 - 2¹³ = 12002093809 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 (12002102041) 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, 11847571 + ... + 11848583.

It is an arithmetic number, because the mean of its divisors is an integer number (383596200).

Almost surely, 2^12002102001 is an apocalyptic number.

It is an amenable number.

12002102001 is a deficient number, since it is larger than the sum of its proper divisors (6410515599).

12002102001 is a wasteful number, since it uses less digits than its factorization.

12002102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1587 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 12002102001 its reverse (10020120021), we get a palindrome (22022222022).

It can be divided in two parts, 12002 and 102001, that added together give a triangular number (114003 = T₄₇₇).

The spelling of 12002102001 in words is "twelve billion, two million, one hundred two thousand, one".