100201025 has 12 divisors (see below), whose sum is σ = 124387500. Its totient is φ = 80071680.

The previous prime is 100200967. The next prime is 100201037. The reversal of 100201025 is 520102001.

It can be written as a sum of positive squares in 6 ways, for example, as 2408704 + 97792321 = 1552^2 + 9889^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100201025 is a prime.

It is a super-2 number, since 2×100201025² = 20080490822101250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100200997 and 100201015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29621 + ... + 32829.

It is an arithmetic number, because the mean of its divisors is an integer number (10365625).

Almost surely, 2^100201025 is an apocalyptic number.

It is an amenable number.

100201025 is a deficient number, since it is larger than the sum of its proper divisors (24186475).

100201025 is a wasteful number, since it uses less digits than its factorization.

100201025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4463 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 100201025 is about 10010.0462036896. The cubic root of 100201025 is about 464.4697003127.

Adding to 100201025 its reverse (520102001), we get a palindrome (620303026).

The spelling of 100201025 in words is "one hundred million, two hundred one thousand, twenty-five".