101266478535096 has 192 divisors, whose sum is σ = 316527773752320. Its totient is φ = 28649835302400.

The previous prime is 101266478535059. The next prime is 101266478535143. The reversal of 101266478535096 is 690535874662101.

It is a happy number.

101266478535096 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 6 + 6 + 4 + 7 + 8 + 535 + 0 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 21694941 + ... + 25946163.

It is an arithmetic number, because the mean of its divisors is an integer number (1648582154960).

It is a 1-persistent number, because it is pandigital, but 2⋅101266478535096 = 202532957070192 is not.

Almost surely, 2^{101266478535096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101266478535096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158263886876160).

101266478535096 is an abundant number, since it is smaller than the sum of its proper divisors (215261295217224).

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

101266478535096 is a wasteful number, since it uses less digits than its factorization.

101266478535096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251706 (or 4251699 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 101266478535096 in words is "one hundred one trillion, two hundred sixty-six billion, four hundred seventy-eight million, five hundred thirty-five thousand, ninety-six".