101270047760 has 80 divisors (see below), whose sum is σ = 269760627072. Its totient is φ = 34634496000.

The previous prime is 101270047759. The next prime is 101270047783. The reversal of 101270047760 is 67740072101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 101270047760.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 926 + ... + 450045.

Almost surely, 2^101270047760 is an apocalyptic number.

101270047760 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 101270047760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134880313536).

101270047760 is an abundant number, since it is smaller than the sum of its proper divisors (168490579312).

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

101270047760 is a wasteful number, since it uses less digits than its factorization.

101270047760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451392 (or 451386 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The spelling of 101270047760 in words is "one hundred one billion, two hundred seventy million, forty-seven thousand, seven hundred sixty".