101267712000 has 2304 divisors, whose sum is σ = 489387225600. Its totient is φ = 20437401600.

The previous prime is 101267711957. The next prime is 101267712017. The reversal of 101267712000 is 217762101.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4402943989 + ... + 4402944011.

It is an arithmetic number, because the mean of its divisors is an integer number (212407650).

Almost surely, 2^101267712000 is an apocalyptic number.

101267712000 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 101267712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244693612800).

101267712000 is an abundant number, since it is smaller than the sum of its proper divisors (388119513600).

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

101267712000 is a wasteful number, since it uses less digits than its factorization.

101267712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The spelling of 101267712000 in words is "one hundred one billion, two hundred sixty-seven million, seven hundred twelve thousand".