101434120425 has 96 divisors (see below), whose sum is σ = 207603855360. Its totient is φ = 48133627200.

The previous prime is 101434120409. The next prime is 101434120433. The reversal of 101434120425 is 524021434101.

101434120425 is a `hidden beast` number, since 1 + 0 + 1 + 434 + 1 + 204 + 25 = 666.

It is not a de Polignac number, because 101434120425 - 2⁴ = 101434120409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 203644 + ... + 494306.

It is an arithmetic number, because the mean of its divisors is an integer number (2162540160).

Almost surely, 2^101434120425 is an apocalyptic number.

101434120425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101434120425 is an abundant number, since it is smaller than the sum of its proper divisors (106169734935).

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

101434120425 is a wasteful number, since it uses less digits than its factorization.

101434120425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290740 (or 290729 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 101434120425 its reverse (524021434101), we get a palindrome (625455554526).

The spelling of 101434120425 in words is "one hundred one billion, four hundred thirty-four million, one hundred twenty thousand, four hundred twenty-five".