101255511663 has 24 divisors (see below), whose sum is σ = 150255705600. Its totient is φ = 65671074000.

The previous prime is 101255511659. The next prime is 101255511671. The reversal of 101255511663 is 366115552101.

101255511663 is a `hidden beast` number, since 10 + 1 + 25 + 551 + 16 + 63 = 666.

It is not a de Polignac number, because 101255511663 - 2² = 101255511659 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101255911663) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 424063 + ... + 618336.

It is an arithmetic number, because the mean of its divisors is an integer number (6260654400).

Almost surely, 2^101255511663 is an apocalyptic number.

101255511663 is a deficient number, since it is larger than the sum of its proper divisors (49000193937).

101255511663 is a wasteful number, since it uses less digits than its factorization.

101255511663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042699 (or 1042696 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The spelling of 101255511663 in words is "one hundred one billion, two hundred fifty-five million, five hundred eleven thousand, six hundred sixty-three".