100241771130 has 160 divisors (see below), whose sum is σ = 274978946880. Its totient is φ = 26194544640.

The previous prime is 100241771093. The next prime is 100241771153. The reversal of 100241771130 is 31177142001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100241771094 and 100241771103.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15815322 + ... + 15821658.

It is an arithmetic number, because the mean of its divisors is an integer number (1718618418).

Almost surely, 2^100241771130 is an apocalyptic number.

100241771130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100241771130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137489473440).

100241771130 is an abundant number, since it is smaller than the sum of its proper divisors (174737175750).

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

100241771130 is a wasteful number, since it uses less digits than its factorization.

100241771130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6746 (or 6737 counting only the distinct ones).

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

The spelling of 100241771130 in words is "one hundred billion, two hundred forty-one million, seven hundred seventy-one thousand, one hundred thirty".