101000111110128 has 120 divisors (see below), whose sum is σ = 288002504584080. Its totient is φ = 33030420433920.

The previous prime is 101000111110127. The next prime is 101000111110139. The reversal of 101000111110128 is 821011111000101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 101000111110128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000111110127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257529063 + ... + 257920953.

It is an arithmetic number, because the mean of its divisors is an integer number (2400020871534).

Almost surely, 2^{101000111110128} is an apocalyptic number.

101000111110128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101000111110128 is an abundant number, since it is smaller than the sum of its proper divisors (187002393473952).

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

101000111110128 is a wasteful number, since it uses less digits than its factorization.

101000111110128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425727 (or 425718 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

Adding to 101000111110128 its reverse (821011111000101), we get a palindrome (922011222110229).

The spelling of 101000111110128 in words is "one hundred one trillion, one hundred eleven million, one hundred ten thousand, one hundred twenty-eight".