102002201001 has 24 divisors (see below), whose sum is σ = 151184929896. Its totient is φ = 66230876160.

The previous prime is 102002200997. The next prime is 102002201003. The reversal of 102002201001 is 100102200201.

It can be written as a sum of positive squares in 4 ways, for example, as 81000000 + 101921201001 = 9000^2 + 319251^2 .

It is not a de Polignac number, because 102002201001 - 2² = 102002200997 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 (102002201003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14260 + ... + 451893.

It is an arithmetic number, because the mean of its divisors is an integer number (6299372079).

Almost surely, 2^102002201001 is an apocalyptic number.

It is an amenable number.

102002201001 is a deficient number, since it is larger than the sum of its proper divisors (49182728895).

102002201001 is a wasteful number, since it uses less digits than its factorization.

102002201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466793 (or 466790 counting only the distinct ones).

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

Adding to 102002201001 its reverse (100102200201), we get a palindrome (202104401202).

The spelling of 102002201001 in words is "one hundred two billion, two million, two hundred one thousand, one".