101256006060 has 144 divisors (see below), whose sum is σ = 338319072000. Its totient is φ = 24308542080.

The previous prime is 101256006053. The next prime is 101256006113. The reversal of 101256006060 is 60600652101.

It is a happy number.

101256006060 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 56 + 0 + 0 + 606 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44310 + ... + 452189.

It is an arithmetic number, because the mean of its divisors is an integer number (2349438000).

Almost surely, 2^101256006060 is an apocalyptic number.

101256006060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101256006060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169159536000).

101256006060 is an abundant number, since it is smaller than the sum of its proper divisors (237063065940).

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

101256006060 is a wasteful number, since it uses less digits than its factorization.

101256006060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496628 (or 496623 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 101256006060 its reverse (60600652101), we get a palindrome (161856658161).

The spelling of 101256006060 in words is "one hundred one billion, two hundred fifty-six million, six thousand, sixty".