10271948075100 has 144 divisors (see below), whose sum is σ = 33023849359200. Its totient is φ = 2739066831360.

The previous prime is 10271948075093. The next prime is 10271948075101. The reversal of 10271948075100 is 157084917201.

It is a happy number.

10271948075100 is a `hidden beast` number, since 102 + 7 + 19 + 480 + 7 + 51 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10271948075101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74259202 + ... + 74397398.

Almost surely, 2^{10271948075100} is an apocalyptic number.

10271948075100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10271948075100 is an abundant number, since it is smaller than the sum of its proper divisors (22751901284100).

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

10271948075100 is a wasteful number, since it uses less digits than its factorization.

10271948075100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165749 (or 165736 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 45.

The spelling of 10271948075100 in words is "ten trillion, two hundred seventy-one billion, nine hundred forty-eight million, seventy-five thousand, one hundred".