102014001 has 12 divisors (see below), whose sum is σ = 147523012. Its totient is φ = 67931136.

The previous prime is 102013987. The next prime is 102014041. The reversal of 102014001 is 100410201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4004001 + 98010000 = 2001^2 + 9900^2 .

It is not a de Polignac number, because 102014001 - 2⁶ = 102013937 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102014041) 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 11 ways as a sum of consecutive naturals, for example, 2385 + ... + 14481.

Almost surely, 2^102014001 is an apocalyptic number.

It is an amenable number.

102014001 is a deficient number, since it is larger than the sum of its proper divisors (45509011).

102014001 is a wasteful number, since it uses less digits than its factorization.

102014001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13040 (or 13037 counting only the distinct ones).

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

The square root of 102014001 is about 10100.1980673648. The cubic root of 102014001 is about 467.2542500517.

Adding to 102014001 its reverse (100410201), we get a palindrome (202424202).

The spelling of 102014001 in words is "one hundred two million, fourteen thousand, one".