100810011134880 has 144 divisors (see below), whose sum is σ = 344134841397984. Its totient is φ = 26873239334400.

The previous prime is 100810011134879. The next prime is 100810011134887. The reversal of 100810011134880 is 88431110018001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×100810011134880² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (100810011134887) 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, 8172174 + ... + 16383053.

It is an arithmetic number, because the mean of its divisors is an integer number (2389825287486).

Almost surely, 2^{100810011134880} is an apocalyptic number.

100810011134880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100810011134880 is an abundant number, since it is smaller than the sum of its proper divisors (243324830263104).

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

100810011134880 is a wasteful number, since it uses less digits than its factorization.

100810011134880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24558099 (or 24558088 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 36.

The spelling of 100810011134880 in words is "one hundred trillion, eight hundred ten billion, eleven million, one hundred thirty-four thousand, eight hundred eighty".