101351414225 has 24 divisors (see below), whose sum is σ = 128289169920. Its totient is φ = 79409056320.

The previous prime is 101351414209. The next prime is 101351414273. The reversal of 101351414225 is 522414153101.

It is a happy number.

It is not a de Polignac number, because 101351414225 - 2⁴ = 101351414209 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 114896 + ... + 464654.

It is an arithmetic number, because the mean of its divisors is an integer number (5345382080).

Almost surely, 2^101351414225 is an apocalyptic number.

It is an amenable number.

101351414225 is a deficient number, since it is larger than the sum of its proper divisors (26937755695).

101351414225 is a wasteful number, since it uses less digits than its factorization.

101351414225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350009 (or 350004 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

Adding to 101351414225 its reverse (522414153101), we get a palindrome (623765567326).

The spelling of 101351414225 in words is "one hundred one billion, three hundred fifty-one million, four hundred fourteen thousand, two hundred twenty-five".