100134340310112 has 48 divisors (see below), whose sum is σ = 262942446799872. Its totient is φ = 33366709819520.

The previous prime is 100134340310071. The next prime is 100134340310131. The reversal of 100134340310112 is 211013043431001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×100134340310112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177899064 + ... + 178461047.

It is an arithmetic number, because the mean of its divisors is an integer number (5477967641664).

Almost surely, 2^{100134340310112} is an apocalyptic number.

100134340310112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100134340310112 is an abundant number, since it is smaller than the sum of its proper divisors (162808106489760).

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

100134340310112 is a wasteful number, since it uses less digits than its factorization.

100134340310112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356363051 (or 356363043 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100134340310112 its reverse (211013043431001), we get a palindrome (311147383741113).

The spelling of 100134340310112 in words is "one hundred trillion, one hundred thirty-four billion, three hundred forty million, three hundred ten thousand, one hundred twelve".