101214625 has 16 divisors (see below), whose sum is σ = 127582416. Its totient is φ = 80160000.

The previous prime is 101214623. The next prime is 101214629. The reversal of 101214625 is 526412101.

It can be written as a sum of positive squares in 8 ways, for example, as 7376656 + 93837969 = 2716^2 + 9687^2 .

It is not a de Polignac number, because 101214625 - 2¹ = 101214623 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101214596 and 101214605.

It is not an unprimeable number, because it can be changed into a prime (101214623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8617 + ... + 16633.

It is an arithmetic number, because the mean of its divisors is an integer number (7973901).

Almost surely, 2^101214625 is an apocalyptic number.

It is an amenable number.

101214625 is a deficient number, since it is larger than the sum of its proper divisors (26367791).

101214625 is an equidigital number, since it uses as much as digits as its factorization.

101214625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8133 (or 8123 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 101214625 is about 10060.5479473039. The cubic root of 101214625 is about 466.0305889037.

Adding to 101214625 its reverse (526412101), we get a palindrome (627626726).

The spelling of 101214625 in words is "one hundred one million, two hundred fourteen thousand, six hundred twenty-five".