101220525 has 54 divisors (see below), whose sum is σ = 210919722. Its totient is φ = 46267200.

The previous prime is 101220521. The next prime is 101220529. The reversal of 101220525 is 525022101.

It is an interprime number because it is at equal distance from previous prime (101220521) and next prime (101220529).

It can be written as a sum of positive squares in 3 ways, for example, as 10323369 + 90897156 = 3213^2 + 9534^2 .

It is not a de Polignac number, because 101220525 - 2² = 101220521 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101220498 and 101220507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220521) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6435 + ... + 15615.

Almost surely, 2^101220525 is an apocalyptic number.

101220525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101220525 is an abundant number, since it is smaller than the sum of its proper divisors (109699197).

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

101220525 is a wasteful number, since it uses less digits than its factorization.

101220525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9211 (or 9196 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 101220525 is about 10060.8411676162. The cubic root of 101220525 is about 466.0396440083.

Adding to 101220525 its reverse (525022101), we get a palindrome (626242626).

The spelling of 101220525 in words is "one hundred one million, two hundred twenty thousand, five hundred twenty-five".