101004402134112 has 24 divisors (see below), whose sum is σ = 265136555602296. Its totient is φ = 33668134044672.

The previous prime is 101004402134089. The next prime is 101004402134123. The reversal of 101004402134112 is 211431204400101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 526064594353 + ... + 526064594544.

It is an arithmetic number, because the mean of its divisors is an integer number (11047356483429).

Almost surely, 2^{101004402134112} is an apocalyptic number.

101004402134112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101004402134112 is an abundant number, since it is smaller than the sum of its proper divisors (164132153468184).

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

101004402134112 is a wasteful number, since it uses less digits than its factorization.

101004402134112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052129188910 (or 1052129188902 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 101004402134112 its reverse (211431204400101), we get a palindrome (312435606534213).

The spelling of 101004402134112 in words is "one hundred one trillion, four billion, four hundred two million, one hundred thirty-four thousand, one hundred twelve".