102030201 has 81 divisors (see below), whose sum is σ = 190793421. Its totient is φ = 52363584.

The previous prime is 102030193. The next prime is 102030217.

It is a happy number.

The square root of 102030201 is 10101.

It is a perfect power (a square), and thus also a powerful number.

102030201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 423801 + 101606400 = 651^2 + 10080^2 .

It is not a de Polignac number, because 102030201 - 2³ = 102030193 is a prime.

It is a super-2 number, since 2×102030201² = 20820323832200802, which contains 22 as substring.

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 (102030281) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2757555 + ... + 2757591.

Almost surely, 2^102030201 is an apocalyptic number.

102030201 is the 10101-st square number.

102030201 is the 5051-st centered octagonal number.

It is an amenable number.

102030201 is a deficient number, since it is larger than the sum of its proper divisors (88763220).

102030201 is a wasteful number, since it uses less digits than its factorization.

102030201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The cubic root of 102030201 is about 467.2789823373.

The spelling of 102030201 in words is "one hundred two million, thirty thousand, two hundred one".