102001000 has 32 divisors (see below), whose sum is σ = 238684680. Its totient is φ = 40800000.

The previous prime is 102000979. The next prime is 102001007. The reversal of 102001000 is 100201.

It can be written as a sum of positive squares in 4 ways, for example, as 8259876 + 93741124 = 2874^2 + 9682^2 .

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50001 + ... + 52000.

Almost surely, 2^102001000 is an apocalyptic number.

102001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001000 is an abundant number, since it is smaller than the sum of its proper divisors (136683680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102001000 is a wasteful number, since it uses less digits than its factorization.

102001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102022 (or 102008 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 102001000 is about 10099.5544456179. The cubic root of 102001000 is about 467.2343997353.

Adding to 102001000 its reverse (100201), we get a palindrome (102101201).

The spelling of 102001000 in words is "one hundred two million, one thousand".