100101110101160 has 64 divisors (see below), whose sum is σ = 257403759189120. Its totient is φ = 34320259987200.

The previous prime is 100101110101159. The next prime is 100101110101189. The reversal of 100101110101160 is 61101011101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 121515782 + ... + 122336778.

It is an arithmetic number, because the mean of its divisors is an integer number (4021933737330).

Almost surely, 2^{100101110101160} is an apocalyptic number.

100101110101160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101110101160 is an abundant number, since it is smaller than the sum of its proper divisors (157302649087960).

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

100101110101160 is a wasteful number, since it uses less digits than its factorization.

100101110101160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256466 (or 1256462 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 14.

Adding to 100101110101160 its reverse (61101011101001), we get a palindrome (161202121202161).

The spelling of 100101110101160 in words is "one hundred trillion, one hundred one billion, one hundred ten million, one hundred one thousand, one hundred sixty".