101430420041124 has 36 divisors (see below), whose sum is σ = 256725248208156. Its totient is φ = 33766401142848.

The previous prime is 101430420041123. The next prime is 101430420041191. The reversal of 101430420041124 is 421140024034101.

101430420041124 is a `hidden beast` number, since 1 + 0 + 1 + 43 + 0 + 4 + 200 + 411 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5330003342400 + 96100416698724 = 2308680^2 + 9803082^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (101430420041123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1822424739 + ... + 1822480394.

It is an arithmetic number, because the mean of its divisors is an integer number (7131256894671).

Almost surely, 2^{101430420041124} is an apocalyptic number.

It is an amenable number.

101430420041124 is an abundant number, since it is smaller than the sum of its proper divisors (155294828167032).

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

101430420041124 is a wasteful number, since it uses less digits than its factorization.

101430420041124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3644905916 (or 3644905911 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 101430420041124 its reverse (421140024034101), we get a palindrome (522570444075225).

The spelling of 101430420041124 in words is "one hundred one trillion, four hundred thirty billion, four hundred twenty million, forty-one thousand, one hundred twenty-four".