101266449951744 has 1760 divisors, whose sum is σ = 387088318881792. Its totient is φ = 25604812800000.

The previous prime is 101266449951683. The next prime is 101266449951757. The reversal of 101266449951744 is 447159944662101.

It is a happy number.

101266449951744 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 66 + 449 + 95 + 1 + 7 + 44 = 666.

101266449951744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 134842143369 + ... + 134842144119.

Almost surely, 2^{101266449951744} is an apocalyptic number.

101266449951744 is a gapful number since it is divisible by the number (14) 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 101266449951744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193544159440896).

101266449951744 is an abundant number, since it is smaller than the sum of its proper divisors (285821868930048).

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

101266449951744 is a wasteful number, since it uses less digits than its factorization.

101266449951744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1335 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 101266449951744 in words is "one hundred one trillion, two hundred sixty-six billion, four hundred forty-nine million, nine hundred fifty-one thousand, seven hundred forty-four".